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Finding the Third Proportional to 157,537 and 239,217.50

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Solution

The third proportional to 157,537 and 239,217.50 is: 363,248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,537 : 239,217.50 = 239,217.50 : x
  2. Step 2: Convert to fraction form
    157,537/239,217.50 = 239,217.50/x
  3. Step 3: Cross multiply
    157,537x = 239,217.50 × 239,217.50
  4. Step 4: Simplify right side
    157,537x = 57,225,012,306.25
  5. Step 5: Solve for x
    x = 57,225,012,306.25/157,537
  6. Step 6: Final answer
    x = 363,248.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.