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Finding the Third Proportional to 182,790 and 272,682

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Solution

The third proportional to 182,790 and 272,682 is: 406,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,790 : 272,682 = 272,682 : x
  2. Step 2: Convert to fraction form
    182,790/272,682 = 272,682/x
  3. Step 3: Cross multiply
    182,790x = 272,682 × 272,682
  4. Step 4: Simplify right side
    182,790x = 74,355,473,124
  5. Step 5: Solve for x
    x = 74,355,473,124/182,790
  6. Step 6: Final answer
    x = 406,780.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.