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Finding the Third Proportional to 165,997.50 and 355,662

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Solution

The third proportional to 165,997.50 and 355,662 is: 762,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,997.50 : 355,662 = 355,662 : x
  2. Step 2: Convert to fraction form
    165,997.50/355,662 = 355,662/x
  3. Step 3: Cross multiply
    165,997.50x = 355,662 × 355,662
  4. Step 4: Simplify right side
    165,997.50x = 126,495,458,244
  5. Step 5: Solve for x
    x = 126,495,458,244/165,997.50
  6. Step 6: Final answer
    x = 762,032.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.