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Finding the Third Proportional to 175,150 and 271,761

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Solution

The third proportional to 175,150 and 271,761 is: 421,661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,150 : 271,761 = 271,761 : x
  2. Step 2: Convert to fraction form
    175,150/271,761 = 271,761/x
  3. Step 3: Cross multiply
    175,150x = 271,761 × 271,761
  4. Step 4: Simplify right side
    175,150x = 73,854,041,121
  5. Step 5: Solve for x
    x = 73,854,041,121/175,150
  6. Step 6: Final answer
    x = 421,661.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.