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Finding the Third Proportional to 174,971 and 271,448

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Solution

The third proportional to 174,971 and 271,448 is: 421,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,971 : 271,448 = 271,448 : x
  2. Step 2: Convert to fraction form
    174,971/271,448 = 271,448/x
  3. Step 3: Cross multiply
    174,971x = 271,448 × 271,448
  4. Step 4: Simplify right side
    174,971x = 73,684,016,704
  5. Step 5: Solve for x
    x = 73,684,016,704/174,971
  6. Step 6: Final answer
    x = 421,121.31

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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.