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Finding the Third Proportional to 191,138 and 267,400

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Solution

The third proportional to 191,138 and 267,400 is: 374,089.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,138 : 267,400 = 267,400 : x
  2. Step 2: Convert to fraction form
    191,138/267,400 = 267,400/x
  3. Step 3: Cross multiply
    191,138x = 267,400 × 267,400
  4. Step 4: Simplify right side
    191,138x = 71,502,760,000
  5. Step 5: Solve for x
    x = 71,502,760,000/191,138
  6. Step 6: Final answer
    x = 374,089.72

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.