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Finding the Third Proportional to 185,659.25 and 278,897.25

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Solution

The third proportional to 185,659.25 and 278,897.25 is: 418,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,659.25 : 278,897.25 = 278,897.25 : x
  2. Step 2: Convert to fraction form
    185,659.25/278,897.25 = 278,897.25/x
  3. Step 3: Cross multiply
    185,659.25x = 278,897.25 × 278,897.25
  4. Step 4: Simplify right side
    185,659.25x = 77,783,676,057.56
  5. Step 5: Solve for x
    x = 77,783,676,057.56/185,659.25
  6. Step 6: Final answer
    x = 418,959.34

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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.