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Finding the Third Proportional to 176,256 and 387,504

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Solution

The third proportional to 176,256 and 387,504 is: 851,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,256 : 387,504 = 387,504 : x
  2. Step 2: Convert to fraction form
    176,256/387,504 = 387,504/x
  3. Step 3: Cross multiply
    176,256x = 387,504 × 387,504
  4. Step 4: Simplify right side
    176,256x = 150,159,350,016
  5. Step 5: Solve for x
    x = 150,159,350,016/176,256
  6. Step 6: Final answer
    x = 851,938.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.