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Finding the Third Proportional to 119,089.62 and 255,447.42

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Solution

The third proportional to 119,089.62 and 255,447.42 is: 547,935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,089.62 : 255,447.42 = 255,447.42 : x
  2. Step 2: Convert to fraction form
    119,089.62/255,447.42 = 255,447.42/x
  3. Step 3: Cross multiply
    119,089.62x = 255,447.42 × 255,447.42
  4. Step 4: Simplify right side
    119,089.62x = 65,253,385,342.58
  5. Step 5: Solve for x
    x = 65,253,385,342.58/119,089.62
  6. Step 6: Final answer
    x = 547,935.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.