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Finding the Third Proportional to 129,306 and 274,160

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Solution

The third proportional to 129,306 and 274,160 is: 581,285.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,306 : 274,160 = 274,160 : x
  2. Step 2: Convert to fraction form
    129,306/274,160 = 274,160/x
  3. Step 3: Cross multiply
    129,306x = 274,160 × 274,160
  4. Step 4: Simplify right side
    129,306x = 75,163,705,600
  5. Step 5: Solve for x
    x = 75,163,705,600/129,306
  6. Step 6: Final answer
    x = 581,285.52

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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.