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Finding the Third Proportional to 177,633 and 380,592

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Solution

The third proportional to 177,633 and 380,592 is: 815,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,633 : 380,592 = 380,592 : x
  2. Step 2: Convert to fraction form
    177,633/380,592 = 380,592/x
  3. Step 3: Cross multiply
    177,633x = 380,592 × 380,592
  4. Step 4: Simplify right side
    177,633x = 144,850,270,464
  5. Step 5: Solve for x
    x = 144,850,270,464/177,633
  6. Step 6: Final answer
    x = 815,446.85

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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.