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Finding the Third Proportional to 193,013.30 and 278,447.41

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Solution

The third proportional to 193,013.30 and 278,447.41 is: 401,697.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,013.30 : 278,447.41 = 278,447.41 : x
  2. Step 2: Convert to fraction form
    193,013.30/278,447.41 = 278,447.41/x
  3. Step 3: Cross multiply
    193,013.30x = 278,447.41 × 278,447.41
  4. Step 4: Simplify right side
    193,013.30x = 77,532,962,398.09
  5. Step 5: Solve for x
    x = 77,532,962,398.09/193,013.30
  6. Step 6: Final answer
    x = 401,697.52

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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.