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Finding the Third Proportional to 154,675 and 327,655

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Solution

The third proportional to 154,675 and 327,655 is: 694,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,675 : 327,655 = 327,655 : x
  2. Step 2: Convert to fraction form
    154,675/327,655 = 327,655/x
  3. Step 3: Cross multiply
    154,675x = 327,655 × 327,655
  4. Step 4: Simplify right side
    154,675x = 107,357,799,025
  5. Step 5: Solve for x
    x = 107,357,799,025/154,675
  6. Step 6: Final answer
    x = 694,086.30

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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.