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Finding the Third Proportional to 193,275.28 and 391,743.84

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Solution

The third proportional to 193,275.28 and 391,743.84 is: 794,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,275.28 : 391,743.84 = 391,743.84 : x
  2. Step 2: Convert to fraction form
    193,275.28/391,743.84 = 391,743.84/x
  3. Step 3: Cross multiply
    193,275.28x = 391,743.84 × 391,743.84
  4. Step 4: Simplify right side
    193,275.28x = 153,463,239,116.02
  5. Step 5: Solve for x
    x = 153,463,239,116.02/193,275.28
  6. Step 6: Final answer
    x = 794,013.79

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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.