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Finding the Third Proportional to 80,504 and 176,560

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Solution

The third proportional to 80,504 and 176,560 is: 387,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,504 : 176,560 = 176,560 : x
  2. Step 2: Convert to fraction form
    80,504/176,560 = 176,560/x
  3. Step 3: Cross multiply
    80,504x = 176,560 × 176,560
  4. Step 4: Simplify right side
    80,504x = 31,173,433,600
  5. Step 5: Solve for x
    x = 31,173,433,600/80,504
  6. Step 6: Final answer
    x = 387,228.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.