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Finding the Third Proportional to 166,863.38 and 345,549.38

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Solution

The third proportional to 166,863.38 and 345,549.38 is: 715,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,863.38 : 345,549.38 = 345,549.38 : x
  2. Step 2: Convert to fraction form
    166,863.38/345,549.38 = 345,549.38/x
  3. Step 3: Cross multiply
    166,863.38x = 345,549.38 × 345,549.38
  4. Step 4: Simplify right side
    166,863.38x = 119,404,370,562.89
  5. Step 5: Solve for x
    x = 119,404,370,562.89/166,863.38
  6. Step 6: Final answer
    x = 715,581.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.