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Finding the Third Proportional to 165,067.31 and 361,684.13

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Solution

The third proportional to 165,067.31 and 361,684.13 is: 792,497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,067.31 : 361,684.13 = 361,684.13 : x
  2. Step 2: Convert to fraction form
    165,067.31/361,684.13 = 361,684.13/x
  3. Step 3: Cross multiply
    165,067.31x = 361,684.13 × 361,684.13
  4. Step 4: Simplify right side
    165,067.31x = 130,815,406,277.02
  5. Step 5: Solve for x
    x = 130,815,406,277.02/165,067.31
  6. Step 6: Final answer
    x = 792,497.34

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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.