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Finding the Third Proportional to 131,277.38 and 288,083.25

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Solution

The third proportional to 131,277.38 and 288,083.25 is: 632,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,277.38 : 288,083.25 = 288,083.25 : x
  2. Step 2: Convert to fraction form
    131,277.38/288,083.25 = 288,083.25/x
  3. Step 3: Cross multiply
    131,277.38x = 288,083.25 × 288,083.25
  4. Step 4: Simplify right side
    131,277.38x = 82,991,958,930.56
  5. Step 5: Solve for x
    x = 82,991,958,930.56/131,277.38
  6. Step 6: Final answer
    x = 632,187.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.