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Finding the Third Proportional to 80,808 and 176,304

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Solution

The third proportional to 80,808 and 176,304 is: 384,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,808 : 176,304 = 176,304 : x
  2. Step 2: Convert to fraction form
    80,808/176,304 = 176,304/x
  3. Step 3: Cross multiply
    80,808x = 176,304 × 176,304
  4. Step 4: Simplify right side
    80,808x = 31,083,100,416
  5. Step 5: Solve for x
    x = 31,083,100,416/80,808
  6. Step 6: Final answer
    x = 384,653.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.