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Finding the Third Proportional to 138,648.75 and 283,869

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Solution

The third proportional to 138,648.75 and 283,869 is: 581,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,648.75 : 283,869 = 283,869 : x
  2. Step 2: Convert to fraction form
    138,648.75/283,869 = 283,869/x
  3. Step 3: Cross multiply
    138,648.75x = 283,869 × 283,869
  4. Step 4: Simplify right side
    138,648.75x = 80,581,609,161
  5. Step 5: Solve for x
    x = 80,581,609,161/138,648.75
  6. Step 6: Final answer
    x = 581,192.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.