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Finding the Third Proportional to 165,651.75 and 262,713.38

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Solution

The third proportional to 165,651.75 and 262,713.38 is: 416,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,651.75 : 262,713.38 = 262,713.38 : x
  2. Step 2: Convert to fraction form
    165,651.75/262,713.38 = 262,713.38/x
  3. Step 3: Cross multiply
    165,651.75x = 262,713.38 × 262,713.38
  4. Step 4: Simplify right side
    165,651.75x = 69,018,317,403.89
  5. Step 5: Solve for x
    x = 69,018,317,403.89/165,651.75
  6. Step 6: Final answer
    x = 416,647.08

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.