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Finding the Third Proportional to 225,960.38 and 309,841.13

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Solution

The third proportional to 225,960.38 and 309,841.13 is: 424,859.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,960.38 : 309,841.13 = 309,841.13 : x
  2. Step 2: Convert to fraction form
    225,960.38/309,841.13 = 309,841.13/x
  3. Step 3: Cross multiply
    225,960.38x = 309,841.13 × 309,841.13
  4. Step 4: Simplify right side
    225,960.38x = 96,001,522,741.27
  5. Step 5: Solve for x
    x = 96,001,522,741.27/225,960.38
  6. Step 6: Final answer
    x = 424,859.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.