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Finding the Third Proportional to 186,112 and 406,992

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Solution

The third proportional to 186,112 and 406,992 is: 890,015.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,112 : 406,992 = 406,992 : x
  2. Step 2: Convert to fraction form
    186,112/406,992 = 406,992/x
  3. Step 3: Cross multiply
    186,112x = 406,992 × 406,992
  4. Step 4: Simplify right side
    186,112x = 165,642,488,064
  5. Step 5: Solve for x
    x = 165,642,488,064/186,112
  6. Step 6: Final answer
    x = 890,015.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.