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Finding the Third Proportional to 182,304 and 242,676

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Solution

The third proportional to 182,304 and 242,676 is: 323,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,304 : 242,676 = 242,676 : x
  2. Step 2: Convert to fraction form
    182,304/242,676 = 242,676/x
  3. Step 3: Cross multiply
    182,304x = 242,676 × 242,676
  4. Step 4: Simplify right side
    182,304x = 58,891,640,976
  5. Step 5: Solve for x
    x = 58,891,640,976/182,304
  6. Step 6: Final answer
    x = 323,040.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.