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Finding the Third Proportional to 130,761 and 283,194

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Solution

The third proportional to 130,761 and 283,194 is: 613,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,761 : 283,194 = 283,194 : x
  2. Step 2: Convert to fraction form
    130,761/283,194 = 283,194/x
  3. Step 3: Cross multiply
    130,761x = 283,194 × 283,194
  4. Step 4: Simplify right side
    130,761x = 80,198,841,636
  5. Step 5: Solve for x
    x = 80,198,841,636/130,761
  6. Step 6: Final answer
    x = 613,323.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.