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Finding the Third Proportional to 238,257.19 and 523,170.38

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Solution

The third proportional to 238,257.19 and 523,170.38 is: 1,148,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,257.19 : 523,170.38 = 523,170.38 : x
  2. Step 2: Convert to fraction form
    238,257.19/523,170.38 = 523,170.38/x
  3. Step 3: Cross multiply
    238,257.19x = 523,170.38 × 523,170.38
  4. Step 4: Simplify right side
    238,257.19x = 273,707,241,277.64
  5. Step 5: Solve for x
    x = 273,707,241,277.64/238,257.19
  6. Step 6: Final answer
    x = 1,148,789.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.