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Finding the Third Proportional to 137,007 and 214,983

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Solution

The third proportional to 137,007 and 214,983 is: 337,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,007 : 214,983 = 214,983 : x
  2. Step 2: Convert to fraction form
    137,007/214,983 = 214,983/x
  3. Step 3: Cross multiply
    137,007x = 214,983 × 214,983
  4. Step 4: Simplify right side
    137,007x = 46,217,690,289
  5. Step 5: Solve for x
    x = 46,217,690,289/137,007
  6. Step 6: Final answer
    x = 337,338.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.