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Finding the Third Proportional to 188,983.13 and 272,296.69

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Solution

The third proportional to 188,983.13 and 272,296.69 is: 392,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,983.13 : 272,296.69 = 272,296.69 : x
  2. Step 2: Convert to fraction form
    188,983.13/272,296.69 = 272,296.69/x
  3. Step 3: Cross multiply
    188,983.13x = 272,296.69 × 272,296.69
  4. Step 4: Simplify right side
    188,983.13x = 74,145,486,023.47
  5. Step 5: Solve for x
    x = 74,145,486,023.47/188,983.13
  6. Step 6: Final answer
    x = 392,339.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.