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Finding the Third Proportional to 218,053.13 and 461,998.13

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Solution

The third proportional to 218,053.13 and 461,998.13 is: 978,854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,053.13 : 461,998.13 = 461,998.13 : x
  2. Step 2: Convert to fraction form
    218,053.13/461,998.13 = 461,998.13/x
  3. Step 3: Cross multiply
    218,053.13x = 461,998.13 × 461,998.13
  4. Step 4: Simplify right side
    218,053.13x = 213,442,267,503.52
  5. Step 5: Solve for x
    x = 213,442,267,503.52/218,053.13
  6. Step 6: Final answer
    x = 978,854.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.