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Finding the Third Proportional to 195,096 and 291,812

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Solution

The third proportional to 195,096 and 291,812 is: 436,473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,096 : 291,812 = 291,812 : x
  2. Step 2: Convert to fraction form
    195,096/291,812 = 291,812/x
  3. Step 3: Cross multiply
    195,096x = 291,812 × 291,812
  4. Step 4: Simplify right side
    195,096x = 85,154,243,344
  5. Step 5: Solve for x
    x = 85,154,243,344/195,096
  6. Step 6: Final answer
    x = 436,473.55

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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.