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Finding the Third Proportional to 166,176.38 and 257,799.75

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Solution

The third proportional to 166,176.38 and 257,799.75 is: 399,940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,176.38 : 257,799.75 = 257,799.75 : x
  2. Step 2: Convert to fraction form
    166,176.38/257,799.75 = 257,799.75/x
  3. Step 3: Cross multiply
    166,176.38x = 257,799.75 × 257,799.75
  4. Step 4: Simplify right side
    166,176.38x = 66,460,711,100.06
  5. Step 5: Solve for x
    x = 66,460,711,100.06/166,176.38
  6. Step 6: Final answer
    x = 399,940.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.