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Finding the Third Proportional to 177,469 and 384,880

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Solution

The third proportional to 177,469 and 384,880 is: 834,695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,469 : 384,880 = 384,880 : x
  2. Step 2: Convert to fraction form
    177,469/384,880 = 384,880/x
  3. Step 3: Cross multiply
    177,469x = 384,880 × 384,880
  4. Step 4: Simplify right side
    177,469x = 148,132,614,400
  5. Step 5: Solve for x
    x = 148,132,614,400/177,469
  6. Step 6: Final answer
    x = 834,695.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.