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Finding the Third Proportional to 226,200.38 and 487,153.13

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Solution

The third proportional to 226,200.38 and 487,153.13 is: 1,049,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,200.38 : 487,153.13 = 487,153.13 : x
  2. Step 2: Convert to fraction form
    226,200.38/487,153.13 = 487,153.13/x
  3. Step 3: Cross multiply
    226,200.38x = 487,153.13 × 487,153.13
  4. Step 4: Simplify right side
    226,200.38x = 237,318,167,197.27
  5. Step 5: Solve for x
    x = 237,318,167,197.27/226,200.38
  6. Step 6: Final answer
    x = 1,049,150.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.