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Finding the Third Proportional to 131,237 and 271,223

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Solution

The third proportional to 131,237 and 271,223 is: 560,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,237 : 271,223 = 271,223 : x
  2. Step 2: Convert to fraction form
    131,237/271,223 = 271,223/x
  3. Step 3: Cross multiply
    131,237x = 271,223 × 271,223
  4. Step 4: Simplify right side
    131,237x = 73,561,915,729
  5. Step 5: Solve for x
    x = 73,561,915,729/131,237
  6. Step 6: Final answer
    x = 560,527.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.