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Finding the Third Proportional to 106,636 and 246,864

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Solution

The third proportional to 106,636 and 246,864 is: 571,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,636 : 246,864 = 246,864 : x
  2. Step 2: Convert to fraction form
    106,636/246,864 = 246,864/x
  3. Step 3: Cross multiply
    106,636x = 246,864 × 246,864
  4. Step 4: Simplify right side
    106,636x = 60,941,834,496
  5. Step 5: Solve for x
    x = 60,941,834,496/106,636
  6. Step 6: Final answer
    x = 571,494.00

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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.