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Finding the Third Proportional to 170,812 and 271,424

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Solution

The third proportional to 170,812 and 271,424 is: 431,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,812 : 271,424 = 271,424 : x
  2. Step 2: Convert to fraction form
    170,812/271,424 = 271,424/x
  3. Step 3: Cross multiply
    170,812x = 271,424 × 271,424
  4. Step 4: Simplify right side
    170,812x = 73,670,987,776
  5. Step 5: Solve for x
    x = 73,670,987,776/170,812
  6. Step 6: Final answer
    x = 431,298.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.