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Finding the Third Proportional to 165,745.13 and 362,837.25

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Solution

The third proportional to 165,745.13 and 362,837.25 is: 794,297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,745.13 : 362,837.25 = 362,837.25 : x
  2. Step 2: Convert to fraction form
    165,745.13/362,837.25 = 362,837.25/x
  3. Step 3: Cross multiply
    165,745.13x = 362,837.25 × 362,837.25
  4. Step 4: Simplify right side
    165,745.13x = 131,650,869,987.56
  5. Step 5: Solve for x
    x = 131,650,869,987.56/165,745.13
  6. Step 6: Final answer
    x = 794,297.09

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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.