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Finding the Third Proportional to 133,012.13 and 283,277.25

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Solution

The third proportional to 133,012.13 and 283,277.25 is: 603,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,012.13 : 283,277.25 = 283,277.25 : x
  2. Step 2: Convert to fraction form
    133,012.13/283,277.25 = 283,277.25/x
  3. Step 3: Cross multiply
    133,012.13x = 283,277.25 × 283,277.25
  4. Step 4: Simplify right side
    133,012.13x = 80,246,000,367.56
  5. Step 5: Solve for x
    x = 80,246,000,367.56/133,012.13
  6. Step 6: Final answer
    x = 603,298.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.