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Finding the Third Proportional to 84,732 and 167,338

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Solution

The third proportional to 84,732 and 167,338 is: 330,477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,732 : 167,338 = 167,338 : x
  2. Step 2: Convert to fraction form
    84,732/167,338 = 167,338/x
  3. Step 3: Cross multiply
    84,732x = 167,338 × 167,338
  4. Step 4: Simplify right side
    84,732x = 28,002,006,244
  5. Step 5: Solve for x
    x = 28,002,006,244/84,732
  6. Step 6: Final answer
    x = 330,477.34

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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.