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Finding the Third Proportional to 165,012.19 and 222,832.69

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Solution

The third proportional to 165,012.19 and 222,832.69 is: 300,913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,012.19 : 222,832.69 = 222,832.69 : x
  2. Step 2: Convert to fraction form
    165,012.19/222,832.69 = 222,832.69/x
  3. Step 3: Cross multiply
    165,012.19x = 222,832.69 × 222,832.69
  4. Step 4: Simplify right side
    165,012.19x = 49,654,406,618.47
  5. Step 5: Solve for x
    x = 49,654,406,618.47/165,012.19
  6. Step 6: Final answer
    x = 300,913.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.