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Finding the Third Proportional to 159,630.75 and 238,059

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Solution

The third proportional to 159,630.75 and 238,059 is: 355,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,630.75 : 238,059 = 238,059 : x
  2. Step 2: Convert to fraction form
    159,630.75/238,059 = 238,059/x
  3. Step 3: Cross multiply
    159,630.75x = 238,059 × 238,059
  4. Step 4: Simplify right side
    159,630.75x = 56,672,087,481
  5. Step 5: Solve for x
    x = 56,672,087,481/159,630.75
  6. Step 6: Final answer
    x = 355,019.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.