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Finding the Third Proportional to 252,276.75 and 379,144.13

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Solution

The third proportional to 252,276.75 and 379,144.13 is: 569,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,276.75 : 379,144.13 = 379,144.13 : x
  2. Step 2: Convert to fraction form
    252,276.75/379,144.13 = 379,144.13/x
  3. Step 3: Cross multiply
    252,276.75x = 379,144.13 × 379,144.13
  4. Step 4: Simplify right side
    252,276.75x = 143,750,267,522.02
  5. Step 5: Solve for x
    x = 143,750,267,522.02/252,276.75
  6. Step 6: Final answer
    x = 569,811.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.