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Finding the Third Proportional to 185,626.69 and 406,716.19

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Solution

The third proportional to 185,626.69 and 406,716.19 is: 891,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,626.69 : 406,716.19 = 406,716.19 : x
  2. Step 2: Convert to fraction form
    185,626.69/406,716.19 = 406,716.19/x
  3. Step 3: Cross multiply
    185,626.69x = 406,716.19 × 406,716.19
  4. Step 4: Simplify right side
    185,626.69x = 165,418,057,174.54
  5. Step 5: Solve for x
    x = 165,418,057,174.54/185,626.69
  6. Step 6: Final answer
    x = 891,132.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.