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Finding the Third Proportional to 151,901 and 332,395

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Solution

The third proportional to 151,901 and 332,395 is: 727,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,901 : 332,395 = 332,395 : x
  2. Step 2: Convert to fraction form
    151,901/332,395 = 332,395/x
  3. Step 3: Cross multiply
    151,901x = 332,395 × 332,395
  4. Step 4: Simplify right side
    151,901x = 110,486,436,025
  5. Step 5: Solve for x
    x = 110,486,436,025/151,901
  6. Step 6: Final answer
    x = 727,358.19

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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.