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Finding the Third Proportional to 191,128 and 267,324

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Solution

The third proportional to 191,128 and 267,324 is: 373,896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,128 : 267,324 = 267,324 : x
  2. Step 2: Convert to fraction form
    191,128/267,324 = 267,324/x
  3. Step 3: Cross multiply
    191,128x = 267,324 × 267,324
  4. Step 4: Simplify right side
    191,128x = 71,462,120,976
  5. Step 5: Solve for x
    x = 71,462,120,976/191,128
  6. Step 6: Final answer
    x = 373,896.66

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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.