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Finding the Third Proportional to 107,472 and 234,372

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Solution

The third proportional to 107,472 and 234,372 is: 511,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,472 : 234,372 = 234,372 : x
  2. Step 2: Convert to fraction form
    107,472/234,372 = 234,372/x
  3. Step 3: Cross multiply
    107,472x = 234,372 × 234,372
  4. Step 4: Simplify right side
    107,472x = 54,930,234,384
  5. Step 5: Solve for x
    x = 54,930,234,384/107,472
  6. Step 6: Final answer
    x = 511,112.05

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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.