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Finding the Third Proportional to 193,255.50 and 278,349

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Solution

The third proportional to 193,255.50 and 278,349 is: 400,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,255.50 : 278,349 = 278,349 : x
  2. Step 2: Convert to fraction form
    193,255.50/278,349 = 278,349/x
  3. Step 3: Cross multiply
    193,255.50x = 278,349 × 278,349
  4. Step 4: Simplify right side
    193,255.50x = 77,478,165,801
  5. Step 5: Solve for x
    x = 77,478,165,801/193,255.50
  6. Step 6: Final answer
    x = 400,910.53

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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.