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Finding the Third Proportional to 165,600 and 262,653

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Solution

The third proportional to 165,600 and 262,653 is: 416,585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,600 : 262,653 = 262,653 : x
  2. Step 2: Convert to fraction form
    165,600/262,653 = 262,653/x
  3. Step 3: Cross multiply
    165,600x = 262,653 × 262,653
  4. Step 4: Simplify right side
    165,600x = 68,986,598,409
  5. Step 5: Solve for x
    x = 68,986,598,409/165,600
  6. Step 6: Final answer
    x = 416,585.74

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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.