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Finding the Third Proportional to 246,022 and 314,366

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Solution

The third proportional to 246,022 and 314,366 is: 401,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,022 : 314,366 = 314,366 : x
  2. Step 2: Convert to fraction form
    246,022/314,366 = 314,366/x
  3. Step 3: Cross multiply
    246,022x = 314,366 × 314,366
  4. Step 4: Simplify right side
    246,022x = 98,825,981,956
  5. Step 5: Solve for x
    x = 98,825,981,956/246,022
  6. Step 6: Final answer
    x = 401,695.71

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.