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Finding the Third Proportional to 114,250 and 247,940

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Solution

The third proportional to 114,250 and 247,940 is: 538,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,250 : 247,940 = 247,940 : x
  2. Step 2: Convert to fraction form
    114,250/247,940 = 247,940/x
  3. Step 3: Cross multiply
    114,250x = 247,940 × 247,940
  4. Step 4: Simplify right side
    114,250x = 61,474,243,600
  5. Step 5: Solve for x
    x = 61,474,243,600/114,250
  6. Step 6: Final answer
    x = 538,067.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.