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Finding the Third Proportional to 174,943 and 267,943

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Solution

The third proportional to 174,943 and 267,943 is: 410,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,943 : 267,943 = 267,943 : x
  2. Step 2: Convert to fraction form
    174,943/267,943 = 267,943/x
  3. Step 3: Cross multiply
    174,943x = 267,943 × 267,943
  4. Step 4: Simplify right side
    174,943x = 71,793,451,249
  5. Step 5: Solve for x
    x = 71,793,451,249/174,943
  6. Step 6: Final answer
    x = 410,381.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.