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Finding the Third Proportional to 166,971.38 and 371,314.13

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Solution

The third proportional to 166,971.38 and 371,314.13 is: 825,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,971.38 : 371,314.13 = 371,314.13 : x
  2. Step 2: Convert to fraction form
    166,971.38/371,314.13 = 371,314.13/x
  3. Step 3: Cross multiply
    166,971.38x = 371,314.13 × 371,314.13
  4. Step 4: Simplify right side
    166,971.38x = 137,874,179,424.52
  5. Step 5: Solve for x
    x = 137,874,179,424.52/166,971.38
  6. Step 6: Final answer
    x = 825,735.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.