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Finding the Third Proportional to 115,940 and 244,334

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Solution

The third proportional to 115,940 and 244,334 is: 514,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,940 : 244,334 = 244,334 : x
  2. Step 2: Convert to fraction form
    115,940/244,334 = 244,334/x
  3. Step 3: Cross multiply
    115,940x = 244,334 × 244,334
  4. Step 4: Simplify right side
    115,940x = 59,699,103,556
  5. Step 5: Solve for x
    x = 59,699,103,556/115,940
  6. Step 6: Final answer
    x = 514,913.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.