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Finding the Third Proportional to 239,427.50 and 357,064.75

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Solution

The third proportional to 239,427.50 and 357,064.75 is: 532,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,427.50 : 357,064.75 = 357,064.75 : x
  2. Step 2: Convert to fraction form
    239,427.50/357,064.75 = 357,064.75/x
  3. Step 3: Cross multiply
    239,427.50x = 357,064.75 × 357,064.75
  4. Step 4: Simplify right side
    239,427.50x = 127,495,235,692.56
  5. Step 5: Solve for x
    x = 127,495,235,692.56/239,427.50
  6. Step 6: Final answer
    x = 532,500.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.