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Finding the Third Proportional to 165,628.13 and 262,689.19

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Solution

The third proportional to 165,628.13 and 262,689.19 is: 416,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,628.13 : 262,689.19 = 262,689.19 : x
  2. Step 2: Convert to fraction form
    165,628.13/262,689.19 = 262,689.19/x
  3. Step 3: Cross multiply
    165,628.13x = 262,689.19 × 262,689.19
  4. Step 4: Simplify right side
    165,628.13x = 69,005,609,229.41
  5. Step 5: Solve for x
    x = 69,005,609,229.41/165,628.13
  6. Step 6: Final answer
    x = 416,629.78

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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.