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Finding the Third Proportional to 182,060 and 278,634

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Solution

The third proportional to 182,060 and 278,634 is: 426,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,060 : 278,634 = 278,634 : x
  2. Step 2: Convert to fraction form
    182,060/278,634 = 278,634/x
  3. Step 3: Cross multiply
    182,060x = 278,634 × 278,634
  4. Step 4: Simplify right side
    182,060x = 77,636,905,956
  5. Step 5: Solve for x
    x = 77,636,905,956/182,060
  6. Step 6: Final answer
    x = 426,435.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.