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Finding the Third Proportional to 204,876 and 307,908

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Solution

The third proportional to 204,876 and 307,908 is: 462,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,876 : 307,908 = 307,908 : x
  2. Step 2: Convert to fraction form
    204,876/307,908 = 307,908/x
  3. Step 3: Cross multiply
    204,876x = 307,908 × 307,908
  4. Step 4: Simplify right side
    204,876x = 94,807,336,464
  5. Step 5: Solve for x
    x = 94,807,336,464/204,876
  6. Step 6: Final answer
    x = 462,754.72

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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.