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Finding the Third Proportional to 210,235.50 and 326,427.75

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Solution

The third proportional to 210,235.50 and 326,427.75 is: 506,836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,235.50 : 326,427.75 = 326,427.75 : x
  2. Step 2: Convert to fraction form
    210,235.50/326,427.75 = 326,427.75/x
  3. Step 3: Cross multiply
    210,235.50x = 326,427.75 × 326,427.75
  4. Step 4: Simplify right side
    210,235.50x = 106,555,075,970.06
  5. Step 5: Solve for x
    x = 106,555,075,970.06/210,235.50
  6. Step 6: Final answer
    x = 506,836.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.