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Finding the Third Proportional to 152,640 and 332,397

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Solution

The third proportional to 152,640 and 332,397 is: 723,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,640 : 332,397 = 332,397 : x
  2. Step 2: Convert to fraction form
    152,640/332,397 = 332,397/x
  3. Step 3: Cross multiply
    152,640x = 332,397 × 332,397
  4. Step 4: Simplify right side
    152,640x = 110,487,765,609
  5. Step 5: Solve for x
    x = 110,487,765,609/152,640
  6. Step 6: Final answer
    x = 723,845.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.