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Finding the Third Proportional to 157,536.50 and 239,217

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Solution

The third proportional to 157,536.50 and 239,217 is: 363,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,536.50 : 239,217 = 239,217 : x
  2. Step 2: Convert to fraction form
    157,536.50/239,217 = 239,217/x
  3. Step 3: Cross multiply
    157,536.50x = 239,217 × 239,217
  4. Step 4: Simplify right side
    157,536.50x = 57,224,773,089
  5. Step 5: Solve for x
    x = 57,224,773,089/157,536.50
  6. Step 6: Final answer
    x = 363,247.71

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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.