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Finding the Third Proportional to 134,098 and 279,218

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Solution

The third proportional to 134,098 and 279,218 is: 581,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,098 : 279,218 = 279,218 : x
  2. Step 2: Convert to fraction form
    134,098/279,218 = 279,218/x
  3. Step 3: Cross multiply
    134,098x = 279,218 × 279,218
  4. Step 4: Simplify right side
    134,098x = 77,962,691,524
  5. Step 5: Solve for x
    x = 77,962,691,524/134,098
  6. Step 6: Final answer
    x = 581,385.94

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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.