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Finding the Third Proportional to 86,324 and 188,338

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Solution

The third proportional to 86,324 and 188,338 is: 410,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,324 : 188,338 = 188,338 : x
  2. Step 2: Convert to fraction form
    86,324/188,338 = 188,338/x
  3. Step 3: Cross multiply
    86,324x = 188,338 × 188,338
  4. Step 4: Simplify right side
    86,324x = 35,471,202,244
  5. Step 5: Solve for x
    x = 35,471,202,244/86,324
  6. Step 6: Final answer
    x = 410,907.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.