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Finding the Third Proportional to 114,978 and 247,439

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Solution

The third proportional to 114,978 and 247,439 is: 532,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,978 : 247,439 = 247,439 : x
  2. Step 2: Convert to fraction form
    114,978/247,439 = 247,439/x
  3. Step 3: Cross multiply
    114,978x = 247,439 × 247,439
  4. Step 4: Simplify right side
    114,978x = 61,226,058,721
  5. Step 5: Solve for x
    x = 61,226,058,721/114,978
  6. Step 6: Final answer
    x = 532,502.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.