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Finding the Third Proportional to 84,728 and 167,330

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Solution

The third proportional to 84,728 and 167,330 is: 330,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,728 : 167,330 = 167,330 : x
  2. Step 2: Convert to fraction form
    84,728/167,330 = 167,330/x
  3. Step 3: Cross multiply
    84,728x = 167,330 × 167,330
  4. Step 4: Simplify right side
    84,728x = 27,999,328,900
  5. Step 5: Solve for x
    x = 27,999,328,900/84,728
  6. Step 6: Final answer
    x = 330,461.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.