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Finding the Third Proportional to 115,534 and 239,836

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Solution

The third proportional to 115,534 and 239,836 is: 497,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,534 : 239,836 = 239,836 : x
  2. Step 2: Convert to fraction form
    115,534/239,836 = 239,836/x
  3. Step 3: Cross multiply
    115,534x = 239,836 × 239,836
  4. Step 4: Simplify right side
    115,534x = 57,521,306,896
  5. Step 5: Solve for x
    x = 57,521,306,896/115,534
  6. Step 6: Final answer
    x = 497,873.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.