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Finding the Third Proportional to 106,664 and 246,934

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Solution

The third proportional to 106,664 and 246,934 is: 571,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,664 : 246,934 = 246,934 : x
  2. Step 2: Convert to fraction form
    106,664/246,934 = 246,934/x
  3. Step 3: Cross multiply
    106,664x = 246,934 × 246,934
  4. Step 4: Simplify right side
    106,664x = 60,976,400,356
  5. Step 5: Solve for x
    x = 60,976,400,356/106,664
  6. Step 6: Final answer
    x = 571,668.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.