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Finding the Third Proportional to 193,758 and 290,829

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Solution

The third proportional to 193,758 and 290,829 is: 436,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,758 : 290,829 = 290,829 : x
  2. Step 2: Convert to fraction form
    193,758/290,829 = 290,829/x
  3. Step 3: Cross multiply
    193,758x = 290,829 × 290,829
  4. Step 4: Simplify right side
    193,758x = 84,581,507,241
  5. Step 5: Solve for x
    x = 84,581,507,241/193,758
  6. Step 6: Final answer
    x = 436,531.69

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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.