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Finding the Third Proportional to 131,240 and 271,228

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Solution

The third proportional to 131,240 and 271,228 is: 560,535.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,240 : 271,228 = 271,228 : x
  2. Step 2: Convert to fraction form
    131,240/271,228 = 271,228/x
  3. Step 3: Cross multiply
    131,240x = 271,228 × 271,228
  4. Step 4: Simplify right side
    131,240x = 73,564,627,984
  5. Step 5: Solve for x
    x = 73,564,627,984/131,240
  6. Step 6: Final answer
    x = 560,535.11

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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.