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Finding the Third Proportional to 83,898 and 167,733

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Solution

The third proportional to 83,898 and 167,733 is: 335,340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,898 : 167,733 = 167,733 : x
  2. Step 2: Convert to fraction form
    83,898/167,733 = 167,733/x
  3. Step 3: Cross multiply
    83,898x = 167,733 × 167,733
  4. Step 4: Simplify right side
    83,898x = 28,134,359,289
  5. Step 5: Solve for x
    x = 28,134,359,289/83,898
  6. Step 6: Final answer
    x = 335,340.05

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.