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Finding the Third Proportional to 193,277 and 391,748

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Solution

The third proportional to 193,277 and 391,748 is: 794,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,277 : 391,748 = 391,748 : x
  2. Step 2: Convert to fraction form
    193,277/391,748 = 391,748/x
  3. Step 3: Cross multiply
    193,277x = 391,748 × 391,748
  4. Step 4: Simplify right side
    193,277x = 153,466,495,504
  5. Step 5: Solve for x
    x = 153,466,495,504/193,277
  6. Step 6: Final answer
    x = 794,023.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.