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Finding the Third Proportional to 151,730 and 332,486

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Solution

The third proportional to 151,730 and 332,486 is: 728,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,730 : 332,486 = 332,486 : x
  2. Step 2: Convert to fraction form
    151,730/332,486 = 332,486/x
  3. Step 3: Cross multiply
    151,730x = 332,486 × 332,486
  4. Step 4: Simplify right side
    151,730x = 110,546,940,196
  5. Step 5: Solve for x
    x = 110,546,940,196/151,730
  6. Step 6: Final answer
    x = 728,576.68

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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.