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Finding the Third Proportional to 114,708 and 247,866

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Solution

The third proportional to 114,708 and 247,866 is: 535,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,708 : 247,866 = 247,866 : x
  2. Step 2: Convert to fraction form
    114,708/247,866 = 247,866/x
  3. Step 3: Cross multiply
    114,708x = 247,866 × 247,866
  4. Step 4: Simplify right side
    114,708x = 61,437,553,956
  5. Step 5: Solve for x
    x = 61,437,553,956/114,708
  6. Step 6: Final answer
    x = 535,599.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.