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Finding the Third Proportional to 193,977 and 291,228

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Solution

The third proportional to 193,977 and 291,228 is: 437,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,977 : 291,228 = 291,228 : x
  2. Step 2: Convert to fraction form
    193,977/291,228 = 291,228/x
  3. Step 3: Cross multiply
    193,977x = 291,228 × 291,228
  4. Step 4: Simplify right side
    193,977x = 84,813,747,984
  5. Step 5: Solve for x
    x = 84,813,747,984/193,977
  6. Step 6: Final answer
    x = 437,236.11

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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.