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Finding the Third Proportional to 130,204 and 284,272

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Solution

The third proportional to 130,204 and 284,272 is: 620,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,204 : 284,272 = 284,272 : x
  2. Step 2: Convert to fraction form
    130,204/284,272 = 284,272/x
  3. Step 3: Cross multiply
    130,204x = 284,272 × 284,272
  4. Step 4: Simplify right side
    130,204x = 80,810,569,984
  5. Step 5: Solve for x
    x = 80,810,569,984/130,204
  6. Step 6: Final answer
    x = 620,645.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.