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Finding the Third Proportional to 151,714 and 332,587

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Solution

The third proportional to 151,714 and 332,587 is: 729,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,714 : 332,587 = 332,587 : x
  2. Step 2: Convert to fraction form
    151,714/332,587 = 332,587/x
  3. Step 3: Cross multiply
    151,714x = 332,587 × 332,587
  4. Step 4: Simplify right side
    151,714x = 110,614,112,569
  5. Step 5: Solve for x
    x = 110,614,112,569/151,714
  6. Step 6: Final answer
    x = 729,096.28

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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.