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Finding the Third Proportional to 193,997 and 291,261

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Solution

The third proportional to 193,997 and 291,261 is: 437,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,997 : 291,261 = 291,261 : x
  2. Step 2: Convert to fraction form
    193,997/291,261 = 291,261/x
  3. Step 3: Cross multiply
    193,997x = 291,261 × 291,261
  4. Step 4: Simplify right side
    193,997x = 84,832,970,121
  5. Step 5: Solve for x
    x = 84,832,970,121/193,997
  6. Step 6: Final answer
    x = 437,290.11

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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.