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Finding the Third Proportional to 80,732 and 175,252

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Solution

The third proportional to 80,732 and 175,252 is: 380,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,732 : 175,252 = 175,252 : x
  2. Step 2: Convert to fraction form
    80,732/175,252 = 175,252/x
  3. Step 3: Cross multiply
    80,732x = 175,252 × 175,252
  4. Step 4: Simplify right side
    80,732x = 30,713,263,504
  5. Step 5: Solve for x
    x = 30,713,263,504/80,732
  6. Step 6: Final answer
    x = 380,434.82

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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.