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Finding the Third Proportional to 165,686.75 and 259,191.75

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Solution

The third proportional to 165,686.75 and 259,191.75 is: 405,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,686.75 : 259,191.75 = 259,191.75 : x
  2. Step 2: Convert to fraction form
    165,686.75/259,191.75 = 259,191.75/x
  3. Step 3: Cross multiply
    165,686.75x = 259,191.75 × 259,191.75
  4. Step 4: Simplify right side
    165,686.75x = 67,180,363,268.06
  5. Step 5: Solve for x
    x = 67,180,363,268.06/165,686.75
  6. Step 6: Final answer
    x = 405,466.12

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.