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Finding the Third Proportional to 283,344.75 and 396,127.13

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Solution

The third proportional to 283,344.75 and 396,127.13 is: 553,801.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,344.75 : 396,127.13 = 396,127.13 : x
  2. Step 2: Convert to fraction form
    283,344.75/396,127.13 = 396,127.13/x
  3. Step 3: Cross multiply
    283,344.75x = 396,127.13 × 396,127.13
  4. Step 4: Simplify right side
    283,344.75x = 156,916,699,160.77
  5. Step 5: Solve for x
    x = 156,916,699,160.77/283,344.75
  6. Step 6: Final answer
    x = 553,801.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.