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Finding the Third Proportional to 191,982.38 and 418,902.75

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Solution

The third proportional to 191,982.38 and 418,902.75 is: 914,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,982.38 : 418,902.75 = 418,902.75 : x
  2. Step 2: Convert to fraction form
    191,982.38/418,902.75 = 418,902.75/x
  3. Step 3: Cross multiply
    191,982.38x = 418,902.75 × 418,902.75
  4. Step 4: Simplify right side
    191,982.38x = 175,479,513,957.56
  5. Step 5: Solve for x
    x = 175,479,513,957.56/191,982.38
  6. Step 6: Final answer
    x = 914,039.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.