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Finding the Third Proportional to 109,616 and 235,868

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Solution

The third proportional to 109,616 and 235,868 is: 507,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,616 : 235,868 = 235,868 : x
  2. Step 2: Convert to fraction form
    109,616/235,868 = 235,868/x
  3. Step 3: Cross multiply
    109,616x = 235,868 × 235,868
  4. Step 4: Simplify right side
    109,616x = 55,633,713,424
  5. Step 5: Solve for x
    x = 55,633,713,424/109,616
  6. Step 6: Final answer
    x = 507,532.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.