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Finding the Third Proportional to 193,718 and 290,775

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Solution

The third proportional to 193,718 and 290,775 is: 436,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,718 : 290,775 = 290,775 : x
  2. Step 2: Convert to fraction form
    193,718/290,775 = 290,775/x
  3. Step 3: Cross multiply
    193,718x = 290,775 × 290,775
  4. Step 4: Simplify right side
    193,718x = 84,550,100,625
  5. Step 5: Solve for x
    x = 84,550,100,625/193,718
  6. Step 6: Final answer
    x = 436,459.70

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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.