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Finding the Third Proportional to 193,734 and 290,799

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Solution

The third proportional to 193,734 and 290,799 is: 436,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,734 : 290,799 = 290,799 : x
  2. Step 2: Convert to fraction form
    193,734/290,799 = 290,799/x
  3. Step 3: Cross multiply
    193,734x = 290,799 × 290,799
  4. Step 4: Simplify right side
    193,734x = 84,564,058,401
  5. Step 5: Solve for x
    x = 84,564,058,401/193,734
  6. Step 6: Final answer
    x = 436,495.70

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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.