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Finding the Third Proportional to 151,476 and 332,478

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Solution

The third proportional to 151,476 and 332,478 is: 729,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,476 : 332,478 = 332,478 : x
  2. Step 2: Convert to fraction form
    151,476/332,478 = 332,478/x
  3. Step 3: Cross multiply
    151,476x = 332,478 × 332,478
  4. Step 4: Simplify right side
    151,476x = 110,541,620,484
  5. Step 5: Solve for x
    x = 110,541,620,484/151,476
  6. Step 6: Final answer
    x = 729,763.27

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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.