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Finding the Third Proportional to 185,057.16 and 278,953.88

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Solution

The third proportional to 185,057.16 and 278,953.88 is: 420,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,057.16 : 278,953.88 = 278,953.88 : x
  2. Step 2: Convert to fraction form
    185,057.16/278,953.88 = 278,953.88/x
  3. Step 3: Cross multiply
    185,057.16x = 278,953.88 × 278,953.88
  4. Step 4: Simplify right side
    185,057.16x = 77,815,264,377.52
  5. Step 5: Solve for x
    x = 77,815,264,377.52/185,057.16
  6. Step 6: Final answer
    x = 420,493.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.