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Finding the Third Proportional to 177,741 and 288,767

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Solution

The third proportional to 177,741 and 288,767 is: 469,145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,741 : 288,767 = 288,767 : x
  2. Step 2: Convert to fraction form
    177,741/288,767 = 288,767/x
  3. Step 3: Cross multiply
    177,741x = 288,767 × 288,767
  4. Step 4: Simplify right side
    177,741x = 83,386,380,289
  5. Step 5: Solve for x
    x = 83,386,380,289/177,741
  6. Step 6: Final answer
    x = 469,145.44

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.