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Finding the Third Proportional to 119,357 and 167,317

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Solution

The third proportional to 119,357 and 167,317 is: 234,548.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,357 : 167,317 = 167,317 : x
  2. Step 2: Convert to fraction form
    119,357/167,317 = 167,317/x
  3. Step 3: Cross multiply
    119,357x = 167,317 × 167,317
  4. Step 4: Simplify right side
    119,357x = 27,994,978,489
  5. Step 5: Solve for x
    x = 27,994,978,489/119,357
  6. Step 6: Final answer
    x = 234,548.28

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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.