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Finding the Third Proportional to 146,566 and 313,868

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Solution

The third proportional to 146,566 and 313,868 is: 672,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,566 : 313,868 = 313,868 : x
  2. Step 2: Convert to fraction form
    146,566/313,868 = 313,868/x
  3. Step 3: Cross multiply
    146,566x = 313,868 × 313,868
  4. Step 4: Simplify right side
    146,566x = 98,513,121,424
  5. Step 5: Solve for x
    x = 98,513,121,424/146,566
  6. Step 6: Final answer
    x = 672,141.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.