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Finding the Third Proportional to 166,071.38 and 234,022.50

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Solution

The third proportional to 166,071.38 and 234,022.50 is: 329,777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,071.38 : 234,022.50 = 234,022.50 : x
  2. Step 2: Convert to fraction form
    166,071.38/234,022.50 = 234,022.50/x
  3. Step 3: Cross multiply
    166,071.38x = 234,022.50 × 234,022.50
  4. Step 4: Simplify right side
    166,071.38x = 54,766,530,506.25
  5. Step 5: Solve for x
    x = 54,766,530,506.25/166,071.38
  6. Step 6: Final answer
    x = 329,777.06

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.