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Finding the Third Proportional to 281,092.13 and 431,791.88

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Solution

The third proportional to 281,092.13 and 431,791.88 is: 663,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,092.13 : 431,791.88 = 431,791.88 : x
  2. Step 2: Convert to fraction form
    281,092.13/431,791.88 = 431,791.88/x
  3. Step 3: Cross multiply
    281,092.13x = 431,791.88 × 431,791.88
  4. Step 4: Simplify right side
    281,092.13x = 186,444,223,316.02
  5. Step 5: Solve for x
    x = 186,444,223,316.02/281,092.13
  6. Step 6: Final answer
    x = 663,285.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.