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Finding the Third Proportional to 166,680 and 238,182.75

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Solution

The third proportional to 166,680 and 238,182.75 is: 340,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,680 : 238,182.75 = 238,182.75 : x
  2. Step 2: Convert to fraction form
    166,680/238,182.75 = 238,182.75/x
  3. Step 3: Cross multiply
    166,680x = 238,182.75 × 238,182.75
  4. Step 4: Simplify right side
    166,680x = 56,731,022,397.56
  5. Step 5: Solve for x
    x = 56,731,022,397.56/166,680
  6. Step 6: Final answer
    x = 340,358.91

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.