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Finding the Third Proportional to 226,112.50 and 491,591

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Solution

The third proportional to 226,112.50 and 491,591 is: 1,068,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,112.50 : 491,591 = 491,591 : x
  2. Step 2: Convert to fraction form
    226,112.50/491,591 = 491,591/x
  3. Step 3: Cross multiply
    226,112.50x = 491,591 × 491,591
  4. Step 4: Simplify right side
    226,112.50x = 241,661,711,281
  5. Step 5: Solve for x
    x = 241,661,711,281/226,112.50
  6. Step 6: Final answer
    x = 1,068,767.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.