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Finding the Third Proportional to 177,900 and 270,516

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Solution

The third proportional to 177,900 and 270,516 is: 411,348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,900 : 270,516 = 270,516 : x
  2. Step 2: Convert to fraction form
    177,900/270,516 = 270,516/x
  3. Step 3: Cross multiply
    177,900x = 270,516 × 270,516
  4. Step 4: Simplify right side
    177,900x = 73,178,906,256
  5. Step 5: Solve for x
    x = 73,178,906,256/177,900
  6. Step 6: Final answer
    x = 411,348.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.