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Finding the Third Proportional to 195,781.13 and 414,726.75

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Solution

The third proportional to 195,781.13 and 414,726.75 is: 878,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,781.13 : 414,726.75 = 414,726.75 : x
  2. Step 2: Convert to fraction form
    195,781.13/414,726.75 = 414,726.75/x
  3. Step 3: Cross multiply
    195,781.13x = 414,726.75 × 414,726.75
  4. Step 4: Simplify right side
    195,781.13x = 171,998,277,165.56
  5. Step 5: Solve for x
    x = 171,998,277,165.56/195,781.13
  6. Step 6: Final answer
    x = 878,523.29

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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.