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Finding the Third Proportional to 188,630 and 404,253

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Solution

The third proportional to 188,630 and 404,253 is: 866,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,630 : 404,253 = 404,253 : x
  2. Step 2: Convert to fraction form
    188,630/404,253 = 404,253/x
  3. Step 3: Cross multiply
    188,630x = 404,253 × 404,253
  4. Step 4: Simplify right side
    188,630x = 163,420,488,009
  5. Step 5: Solve for x
    x = 163,420,488,009/188,630
  6. Step 6: Final answer
    x = 866,354.71

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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.