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Finding the Third Proportional to 200,879.37 and 272,819.71

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Solution

The third proportional to 200,879.37 and 272,819.71 is: 370,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,879.37 : 272,819.71 = 272,819.71 : x
  2. Step 2: Convert to fraction form
    200,879.37/272,819.71 = 272,819.71/x
  3. Step 3: Cross multiply
    200,879.37x = 272,819.71 × 272,819.71
  4. Step 4: Simplify right side
    200,879.37x = 74,430,592,544.61
  5. Step 5: Solve for x
    x = 74,430,592,544.61/200,879.37
  6. Step 6: Final answer
    x = 370,523.83

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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.