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Finding the Third Proportional to 171,167 and 368,132

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Solution

The third proportional to 171,167 and 368,132 is: 791,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,167 : 368,132 = 368,132 : x
  2. Step 2: Convert to fraction form
    171,167/368,132 = 368,132/x
  3. Step 3: Cross multiply
    171,167x = 368,132 × 368,132
  4. Step 4: Simplify right side
    171,167x = 135,521,169,424
  5. Step 5: Solve for x
    x = 135,521,169,424/171,167
  6. Step 6: Final answer
    x = 791,748.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.