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Finding the Third Proportional to 193,981 and 291,234

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Solution

The third proportional to 193,981 and 291,234 is: 437,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,981 : 291,234 = 291,234 : x
  2. Step 2: Convert to fraction form
    193,981/291,234 = 291,234/x
  3. Step 3: Cross multiply
    193,981x = 291,234 × 291,234
  4. Step 4: Simplify right side
    193,981x = 84,817,242,756
  5. Step 5: Solve for x
    x = 84,817,242,756/193,981
  6. Step 6: Final answer
    x = 437,245.11

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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.