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Finding the Third Proportional to 174,040 and 271,320

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Solution

The third proportional to 174,040 and 271,320 is: 422,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,040 : 271,320 = 271,320 : x
  2. Step 2: Convert to fraction form
    174,040/271,320 = 271,320/x
  3. Step 3: Cross multiply
    174,040x = 271,320 × 271,320
  4. Step 4: Simplify right side
    174,040x = 73,614,542,400
  5. Step 5: Solve for x
    x = 73,614,542,400/174,040
  6. Step 6: Final answer
    x = 422,974.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.