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Finding the Third Proportional to 157,524 and 252,688

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Solution

The third proportional to 157,524 and 252,688 is: 405,342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,524 : 252,688 = 252,688 : x
  2. Step 2: Convert to fraction form
    157,524/252,688 = 252,688/x
  3. Step 3: Cross multiply
    157,524x = 252,688 × 252,688
  4. Step 4: Simplify right side
    157,524x = 63,851,225,344
  5. Step 5: Solve for x
    x = 63,851,225,344/157,524
  6. Step 6: Final answer
    x = 405,342.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.