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Finding the Third Proportional to 92,880 and 167,328

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Solution

The third proportional to 92,880 and 167,328 is: 301,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,880 : 167,328 = 167,328 : x
  2. Step 2: Convert to fraction form
    92,880/167,328 = 167,328/x
  3. Step 3: Cross multiply
    92,880x = 167,328 × 167,328
  4. Step 4: Simplify right side
    92,880x = 27,998,659,584
  5. Step 5: Solve for x
    x = 27,998,659,584/92,880
  6. Step 6: Final answer
    x = 301,449.82

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.