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Finding the Third Proportional to 147,568 and 326,147

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Solution

The third proportional to 147,568 and 326,147 is: 720,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,568 : 326,147 = 326,147 : x
  2. Step 2: Convert to fraction form
    147,568/326,147 = 326,147/x
  3. Step 3: Cross multiply
    147,568x = 326,147 × 326,147
  4. Step 4: Simplify right side
    147,568x = 106,371,865,609
  5. Step 5: Solve for x
    x = 106,371,865,609/147,568
  6. Step 6: Final answer
    x = 720,832.87

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.