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Finding the Third Proportional to 129,304 and 274,156

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Solution

The third proportional to 129,304 and 274,156 is: 581,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,304 : 274,156 = 274,156 : x
  2. Step 2: Convert to fraction form
    129,304/274,156 = 274,156/x
  3. Step 3: Cross multiply
    129,304x = 274,156 × 274,156
  4. Step 4: Simplify right side
    129,304x = 75,161,512,336
  5. Step 5: Solve for x
    x = 75,161,512,336/129,304
  6. Step 6: Final answer
    x = 581,277.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.