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Finding the Third Proportional to 204,159.87 and 316,773.28

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Solution

The third proportional to 204,159.87 and 316,773.28 is: 491,503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,159.87 : 316,773.28 = 316,773.28 : x
  2. Step 2: Convert to fraction form
    204,159.87/316,773.28 = 316,773.28/x
  3. Step 3: Cross multiply
    204,159.87x = 316,773.28 × 316,773.28
  4. Step 4: Simplify right side
    204,159.87x = 100,345,311,713.89
  5. Step 5: Solve for x
    x = 100,345,311,713.89/204,159.87
  6. Step 6: Final answer
    x = 491,503.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.