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Finding the Third Proportional to 195,112 and 291,832

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Solution

The third proportional to 195,112 and 291,832 is: 436,497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,112 : 291,832 = 291,832 : x
  2. Step 2: Convert to fraction form
    195,112/291,832 = 291,832/x
  3. Step 3: Cross multiply
    195,112x = 291,832 × 291,832
  4. Step 4: Simplify right side
    195,112x = 85,165,916,224
  5. Step 5: Solve for x
    x = 85,165,916,224/195,112
  6. Step 6: Final answer
    x = 436,497.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.