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Finding the Third Proportional to 212,568 and 325,548

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Solution

The third proportional to 212,568 and 325,548 is: 498,576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,568 : 325,548 = 325,548 : x
  2. Step 2: Convert to fraction form
    212,568/325,548 = 325,548/x
  3. Step 3: Cross multiply
    212,568x = 325,548 × 325,548
  4. Step 4: Simplify right side
    212,568x = 105,981,500,304
  5. Step 5: Solve for x
    x = 105,981,500,304/212,568
  6. Step 6: Final answer
    x = 498,576.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.