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Finding the Third Proportional to 182,042 and 378,620

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Solution

The third proportional to 182,042 and 378,620 is: 787,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,042 : 378,620 = 378,620 : x
  2. Step 2: Convert to fraction form
    182,042/378,620 = 378,620/x
  3. Step 3: Cross multiply
    182,042x = 378,620 × 378,620
  4. Step 4: Simplify right side
    182,042x = 143,353,104,400
  5. Step 5: Solve for x
    x = 143,353,104,400/182,042
  6. Step 6: Final answer
    x = 787,472.70

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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.