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Finding the Third Proportional to 107,361 and 233,757

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Solution

The third proportional to 107,361 and 233,757 is: 508,958.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,361 : 233,757 = 233,757 : x
  2. Step 2: Convert to fraction form
    107,361/233,757 = 233,757/x
  3. Step 3: Cross multiply
    107,361x = 233,757 × 233,757
  4. Step 4: Simplify right side
    107,361x = 54,642,335,049
  5. Step 5: Solve for x
    x = 54,642,335,049/107,361
  6. Step 6: Final answer
    x = 508,958.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.