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Finding the Third Proportional to 171,034.03 and 268,298.58

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Solution

The third proportional to 171,034.03 and 268,298.58 is: 420,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,034.03 : 268,298.58 = 268,298.58 : x
  2. Step 2: Convert to fraction form
    171,034.03/268,298.58 = 268,298.58/x
  3. Step 3: Cross multiply
    171,034.03x = 268,298.58 × 268,298.58
  4. Step 4: Simplify right side
    171,034.03x = 71,984,127,023.90
  5. Step 5: Solve for x
    x = 71,984,127,023.90/171,034.03
  6. Step 6: Final answer
    x = 420,876.05

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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.