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Finding the Third Proportional to 140,892 and 307,908

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Solution

The third proportional to 140,892 and 307,908 is: 672,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,892 : 307,908 = 307,908 : x
  2. Step 2: Convert to fraction form
    140,892/307,908 = 307,908/x
  3. Step 3: Cross multiply
    140,892x = 307,908 × 307,908
  4. Step 4: Simplify right side
    140,892x = 94,807,336,464
  5. Step 5: Solve for x
    x = 94,807,336,464/140,892
  6. Step 6: Final answer
    x = 672,907.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.