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Finding the Third Proportional to 146,974.50 and 317,277

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Solution

The third proportional to 146,974.50 and 317,277 is: 684,912.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,974.50 : 317,277 = 317,277 : x
  2. Step 2: Convert to fraction form
    146,974.50/317,277 = 317,277/x
  3. Step 3: Cross multiply
    146,974.50x = 317,277 × 317,277
  4. Step 4: Simplify right side
    146,974.50x = 100,664,694,729
  5. Step 5: Solve for x
    x = 100,664,694,729/146,974.50
  6. Step 6: Final answer
    x = 684,912.65

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Why These Related Problems?

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