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Finding the Third Proportional to 167,317 and 269,342

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Solution

The third proportional to 167,317 and 269,342 is: 433,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,317 : 269,342 = 269,342 : x
  2. Step 2: Convert to fraction form
    167,317/269,342 = 269,342/x
  3. Step 3: Cross multiply
    167,317x = 269,342 × 269,342
  4. Step 4: Simplify right side
    167,317x = 72,545,112,964
  5. Step 5: Solve for x
    x = 72,545,112,964/167,317
  6. Step 6: Final answer
    x = 433,578.85

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.