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Finding the Third Proportional to 191,517.75 and 447,342.75

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Solution

The third proportional to 191,517.75 and 447,342.75 is: 1,044,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,517.75 : 447,342.75 = 447,342.75 : x
  2. Step 2: Convert to fraction form
    191,517.75/447,342.75 = 447,342.75/x
  3. Step 3: Cross multiply
    191,517.75x = 447,342.75 × 447,342.75
  4. Step 4: Simplify right side
    191,517.75x = 200,115,535,977.56
  5. Step 5: Solve for x
    x = 200,115,535,977.56/191,517.75
  6. Step 6: Final answer
    x = 1,044,892.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.