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Finding the Third Proportional to 217,854 and 326,767.50

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Solution

The third proportional to 217,854 and 326,767.50 is: 490,131.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,854 : 326,767.50 = 326,767.50 : x
  2. Step 2: Convert to fraction form
    217,854/326,767.50 = 326,767.50/x
  3. Step 3: Cross multiply
    217,854x = 326,767.50 × 326,767.50
  4. Step 4: Simplify right side
    217,854x = 106,776,999,056.25
  5. Step 5: Solve for x
    x = 106,776,999,056.25/217,854
  6. Step 6: Final answer
    x = 490,131.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.