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Finding the Third Proportional to 100,256 and 233,118

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Solution

The third proportional to 100,256 and 233,118 is: 542,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,256 : 233,118 = 233,118 : x
  2. Step 2: Convert to fraction form
    100,256/233,118 = 233,118/x
  3. Step 3: Cross multiply
    100,256x = 233,118 × 233,118
  4. Step 4: Simplify right side
    100,256x = 54,344,001,924
  5. Step 5: Solve for x
    x = 54,344,001,924/100,256
  6. Step 6: Final answer
    x = 542,052.37

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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.