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Finding the Third Proportional to 80,820 and 173,304

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Solution

The third proportional to 80,820 and 173,304 is: 371,619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,820 : 173,304 = 173,304 : x
  2. Step 2: Convert to fraction form
    80,820/173,304 = 173,304/x
  3. Step 3: Cross multiply
    80,820x = 173,304 × 173,304
  4. Step 4: Simplify right side
    80,820x = 30,034,276,416
  5. Step 5: Solve for x
    x = 30,034,276,416/80,820
  6. Step 6: Final answer
    x = 371,619.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.