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Finding the Third Proportional to 188,646 and 404,286

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Solution

The third proportional to 188,646 and 404,286 is: 866,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,646 : 404,286 = 404,286 : x
  2. Step 2: Convert to fraction form
    188,646/404,286 = 404,286/x
  3. Step 3: Cross multiply
    188,646x = 404,286 × 404,286
  4. Step 4: Simplify right side
    188,646x = 163,447,169,796
  5. Step 5: Solve for x
    x = 163,447,169,796/188,646
  6. Step 6: Final answer
    x = 866,422.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.