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Finding the Third Proportional to 84,731 and 167,336

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Solution

The third proportional to 84,731 and 167,336 is: 330,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,731 : 167,336 = 167,336 : x
  2. Step 2: Convert to fraction form
    84,731/167,336 = 167,336/x
  3. Step 3: Cross multiply
    84,731x = 167,336 × 167,336
  4. Step 4: Simplify right side
    84,731x = 28,001,336,896
  5. Step 5: Solve for x
    x = 28,001,336,896/84,731
  6. Step 6: Final answer
    x = 330,473.34

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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.