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Finding the Third Proportional to 174,992.13 and 271,479.25

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Solution

The third proportional to 174,992.13 and 271,479.25 is: 421,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,992.13 : 271,479.25 = 271,479.25 : x
  2. Step 2: Convert to fraction form
    174,992.13/271,479.25 = 271,479.25/x
  3. Step 3: Cross multiply
    174,992.13x = 271,479.25 × 271,479.25
  4. Step 4: Simplify right side
    174,992.13x = 73,700,983,180.56
  5. Step 5: Solve for x
    x = 73,700,983,180.56/174,992.13
  6. Step 6: Final answer
    x = 421,167.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.