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Finding the Third Proportional to 181,159.88 and 393,454.13

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Solution

The third proportional to 181,159.88 and 393,454.13 is: 854,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,159.88 : 393,454.13 = 393,454.13 : x
  2. Step 2: Convert to fraction form
    181,159.88/393,454.13 = 393,454.13/x
  3. Step 3: Cross multiply
    181,159.88x = 393,454.13 × 393,454.13
  4. Step 4: Simplify right side
    181,159.88x = 154,806,148,479.52
  5. Step 5: Solve for x
    x = 154,806,148,479.52/181,159.88
  6. Step 6: Final answer
    x = 854,527.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.