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Finding the Third Proportional to 185,488.31 and 278,110.13

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Solution

The third proportional to 185,488.31 and 278,110.13 is: 416,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,488.31 : 278,110.13 = 278,110.13 : x
  2. Step 2: Convert to fraction form
    185,488.31/278,110.13 = 278,110.13/x
  3. Step 3: Cross multiply
    185,488.31x = 278,110.13 × 278,110.13
  4. Step 4: Simplify right side
    185,488.31x = 77,345,241,627.52
  5. Step 5: Solve for x
    x = 77,345,241,627.52/185,488.31
  6. Step 6: Final answer
    x = 416,981.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.