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Finding the Third Proportional to 183,482 and 404,212

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Solution

The third proportional to 183,482 and 404,212 is: 890,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,482 : 404,212 = 404,212 : x
  2. Step 2: Convert to fraction form
    183,482/404,212 = 404,212/x
  3. Step 3: Cross multiply
    183,482x = 404,212 × 404,212
  4. Step 4: Simplify right side
    183,482x = 163,387,340,944
  5. Step 5: Solve for x
    x = 163,387,340,944/183,482
  6. Step 6: Final answer
    x = 890,481.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.