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Finding the Third Proportional to 75,219.38 and 165,200.25

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Solution

The third proportional to 75,219.38 and 165,200.25 is: 362,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,219.38 : 165,200.25 = 165,200.25 : x
  2. Step 2: Convert to fraction form
    75,219.38/165,200.25 = 165,200.25/x
  3. Step 3: Cross multiply
    75,219.38x = 165,200.25 × 165,200.25
  4. Step 4: Simplify right side
    75,219.38x = 27,291,122,600.06
  5. Step 5: Solve for x
    x = 27,291,122,600.06/75,219.38
  6. Step 6: Final answer
    x = 362,820.39

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