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Finding the Third Proportional to 193,934.25 and 298,019.25

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Solution

The third proportional to 193,934.25 and 298,019.25 is: 457,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,934.25 : 298,019.25 = 298,019.25 : x
  2. Step 2: Convert to fraction form
    193,934.25/298,019.25 = 298,019.25/x
  3. Step 3: Cross multiply
    193,934.25x = 298,019.25 × 298,019.25
  4. Step 4: Simplify right side
    193,934.25x = 88,815,473,370.56
  5. Step 5: Solve for x
    x = 88,815,473,370.56/193,934.25
  6. Step 6: Final answer
    x = 457,966.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.