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Finding the Third Proportional to 177,612 and 380,494

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Solution

The third proportional to 177,612 and 380,494 is: 815,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,612 : 380,494 = 380,494 : x
  2. Step 2: Convert to fraction form
    177,612/380,494 = 380,494/x
  3. Step 3: Cross multiply
    177,612x = 380,494 × 380,494
  4. Step 4: Simplify right side
    177,612x = 144,775,684,036
  5. Step 5: Solve for x
    x = 144,775,684,036/177,612
  6. Step 6: Final answer
    x = 815,123.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.