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Finding the Third Proportional to 100,234 and 233,081

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Solution

The third proportional to 100,234 and 233,081 is: 541,999.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,234 : 233,081 = 233,081 : x
  2. Step 2: Convert to fraction form
    100,234/233,081 = 233,081/x
  3. Step 3: Cross multiply
    100,234x = 233,081 × 233,081
  4. Step 4: Simplify right side
    100,234x = 54,326,752,561
  5. Step 5: Solve for x
    x = 54,326,752,561/100,234
  6. Step 6: Final answer
    x = 541,999.25

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.