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Finding the Third Proportional to 113,866 and 244,580

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Solution

The third proportional to 113,866 and 244,580 is: 525,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,866 : 244,580 = 244,580 : x
  2. Step 2: Convert to fraction form
    113,866/244,580 = 244,580/x
  3. Step 3: Cross multiply
    113,866x = 244,580 × 244,580
  4. Step 4: Simplify right side
    113,866x = 59,819,376,400
  5. Step 5: Solve for x
    x = 59,819,376,400/113,866
  6. Step 6: Final answer
    x = 525,348.89

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Why These Related Problems?

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