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Finding the Third Proportional to 200,976.19 and 272,782.69

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Solution

The third proportional to 200,976.19 and 272,782.69 is: 370,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,976.19 : 272,782.69 = 272,782.69 : x
  2. Step 2: Convert to fraction form
    200,976.19/272,782.69 = 272,782.69/x
  3. Step 3: Cross multiply
    200,976.19x = 272,782.69 × 272,782.69
  4. Step 4: Simplify right side
    200,976.19x = 74,410,394,599.72
  5. Step 5: Solve for x
    x = 74,410,394,599.72/200,976.19
  6. Step 6: Final answer
    x = 370,244.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.