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Finding the Third Proportional to 151,522 and 332,588

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Solution

The third proportional to 151,522 and 332,588 is: 730,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,522 : 332,588 = 332,588 : x
  2. Step 2: Convert to fraction form
    151,522/332,588 = 332,588/x
  3. Step 3: Cross multiply
    151,522x = 332,588 × 332,588
  4. Step 4: Simplify right side
    151,522x = 110,614,777,744
  5. Step 5: Solve for x
    x = 110,614,777,744/151,522
  6. Step 6: Final answer
    x = 730,024.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.