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Finding the Third Proportional to 191,148 and 267,414

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Solution

The third proportional to 191,148 and 267,414 is: 374,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,148 : 267,414 = 267,414 : x
  2. Step 2: Convert to fraction form
    191,148/267,414 = 267,414/x
  3. Step 3: Cross multiply
    191,148x = 267,414 × 267,414
  4. Step 4: Simplify right side
    191,148x = 71,510,247,396
  5. Step 5: Solve for x
    x = 71,510,247,396/191,148
  6. Step 6: Final answer
    x = 374,109.32

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Why These Related Problems?

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