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Finding the Third Proportional to 146,872 and 317,096

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Solution

The third proportional to 146,872 and 317,096 is: 684,608.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,872 : 317,096 = 317,096 : x
  2. Step 2: Convert to fraction form
    146,872/317,096 = 317,096/x
  3. Step 3: Cross multiply
    146,872x = 317,096 × 317,096
  4. Step 4: Simplify right side
    146,872x = 100,549,873,216
  5. Step 5: Solve for x
    x = 100,549,873,216/146,872
  6. Step 6: Final answer
    x = 684,608.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.