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Finding the Third Proportional to 167,376 and 234,110

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Solution

The third proportional to 167,376 and 234,110 is: 327,451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,376 : 234,110 = 234,110 : x
  2. Step 2: Convert to fraction form
    167,376/234,110 = 234,110/x
  3. Step 3: Cross multiply
    167,376x = 234,110 × 234,110
  4. Step 4: Simplify right side
    167,376x = 54,807,492,100
  5. Step 5: Solve for x
    x = 54,807,492,100/167,376
  6. Step 6: Final answer
    x = 327,451.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.