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Finding the Third Proportional to 115,900 and 244,461

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Solution

The third proportional to 115,900 and 244,461 is: 515,627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,900 : 244,461 = 244,461 : x
  2. Step 2: Convert to fraction form
    115,900/244,461 = 244,461/x
  3. Step 3: Cross multiply
    115,900x = 244,461 × 244,461
  4. Step 4: Simplify right side
    115,900x = 59,761,180,521
  5. Step 5: Solve for x
    x = 59,761,180,521/115,900
  6. Step 6: Final answer
    x = 515,627.10

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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.