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Finding the Third Proportional to 157,591 and 240,032

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Solution

The third proportional to 157,591 and 240,032 is: 365,600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,591 : 240,032 = 240,032 : x
  2. Step 2: Convert to fraction form
    157,591/240,032 = 240,032/x
  3. Step 3: Cross multiply
    157,591x = 240,032 × 240,032
  4. Step 4: Simplify right side
    157,591x = 57,615,361,024
  5. Step 5: Solve for x
    x = 57,615,361,024/157,591
  6. Step 6: Final answer
    x = 365,600.58

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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.