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Finding the Third Proportional to 108,565.50 and 239,217.75

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Solution

The third proportional to 108,565.50 and 239,217.75 is: 527,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,565.50 : 239,217.75 = 239,217.75 : x
  2. Step 2: Convert to fraction form
    108,565.50/239,217.75 = 239,217.75/x
  3. Step 3: Cross multiply
    108,565.50x = 239,217.75 × 239,217.75
  4. Step 4: Simplify right side
    108,565.50x = 57,225,131,915.06
  5. Step 5: Solve for x
    x = 57,225,131,915.06/108,565.50
  6. Step 6: Final answer
    x = 527,102.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.