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Finding the Third Proportional to 157,534.50 and 239,214

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Solution

The third proportional to 157,534.50 and 239,214 is: 363,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,534.50 : 239,214 = 239,214 : x
  2. Step 2: Convert to fraction form
    157,534.50/239,214 = 239,214/x
  3. Step 3: Cross multiply
    157,534.50x = 239,214 × 239,214
  4. Step 4: Simplify right side
    157,534.50x = 57,223,337,796
  5. Step 5: Solve for x
    x = 57,223,337,796/157,534.50
  6. Step 6: Final answer
    x = 363,243.21

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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.