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Finding the Third Proportional to 200,017.13 and 283,015.13

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Solution

The third proportional to 200,017.13 and 283,015.13 is: 400,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,017.13 : 283,015.13 = 283,015.13 : x
  2. Step 2: Convert to fraction form
    200,017.13/283,015.13 = 283,015.13/x
  3. Step 3: Cross multiply
    200,017.13x = 283,015.13 × 283,015.13
  4. Step 4: Simplify right side
    200,017.13x = 80,097,560,978.77
  5. Step 5: Solve for x
    x = 80,097,560,978.77/200,017.13
  6. Step 6: Final answer
    x = 400,453.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.