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Finding the Third Proportional to 126,991.25 and 271,478.25

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Solution

The third proportional to 126,991.25 and 271,478.25 is: 580,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,991.25 : 271,478.25 = 271,478.25 : x
  2. Step 2: Convert to fraction form
    126,991.25/271,478.25 = 271,478.25/x
  3. Step 3: Cross multiply
    126,991.25x = 271,478.25 × 271,478.25
  4. Step 4: Simplify right side
    126,991.25x = 73,700,440,223.06
  5. Step 5: Solve for x
    x = 73,700,440,223.06/126,991.25
  6. Step 6: Final answer
    x = 580,358.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.