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Finding the Third Proportional to 147,876 and 327,336

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Solution

The third proportional to 147,876 and 327,336 is: 724,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,876 : 327,336 = 327,336 : x
  2. Step 2: Convert to fraction form
    147,876/327,336 = 327,336/x
  3. Step 3: Cross multiply
    147,876x = 327,336 × 327,336
  4. Step 4: Simplify right side
    147,876x = 107,148,856,896
  5. Step 5: Solve for x
    x = 107,148,856,896/147,876
  6. Step 6: Final answer
    x = 724,585.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.