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Finding the Third Proportional to 193,730 and 290,793

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Solution

The third proportional to 193,730 and 290,793 is: 436,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,730 : 290,793 = 290,793 : x
  2. Step 2: Convert to fraction form
    193,730/290,793 = 290,793/x
  3. Step 3: Cross multiply
    193,730x = 290,793 × 290,793
  4. Step 4: Simplify right side
    193,730x = 84,560,568,849
  5. Step 5: Solve for x
    x = 84,560,568,849/193,730
  6. Step 6: Final answer
    x = 436,486.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.