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Finding the Third Proportional to 80,617 and 167,774

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Solution

The third proportional to 80,617 and 167,774 is: 349,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,617 : 167,774 = 167,774 : x
  2. Step 2: Convert to fraction form
    80,617/167,774 = 167,774/x
  3. Step 3: Cross multiply
    80,617x = 167,774 × 167,774
  4. Step 4: Simplify right side
    80,617x = 28,148,115,076
  5. Step 5: Solve for x
    x = 28,148,115,076/80,617
  6. Step 6: Final answer
    x = 349,158.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.