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Finding the Third Proportional to 171,034 and 268,298

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Solution

The third proportional to 171,034 and 268,298 is: 420,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,034 : 268,298 = 268,298 : x
  2. Step 2: Convert to fraction form
    171,034/268,298 = 268,298/x
  3. Step 3: Cross multiply
    171,034x = 268,298 × 268,298
  4. Step 4: Simplify right side
    171,034x = 71,983,816,804
  5. Step 5: Solve for x
    x = 71,983,816,804/171,034
  6. Step 6: Final answer
    x = 420,874.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.