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Finding the Third Proportional to 109,634 and 236,756

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Solution

The third proportional to 109,634 and 236,756 is: 511,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,634 : 236,756 = 236,756 : x
  2. Step 2: Convert to fraction form
    109,634/236,756 = 236,756/x
  3. Step 3: Cross multiply
    109,634x = 236,756 × 236,756
  4. Step 4: Simplify right side
    109,634x = 56,053,403,536
  5. Step 5: Solve for x
    x = 56,053,403,536/109,634
  6. Step 6: Final answer
    x = 511,277.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.