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Finding the Third Proportional to 117,802 and 255,404

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Solution

The third proportional to 117,802 and 255,404 is: 553,735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,802 : 255,404 = 255,404 : x
  2. Step 2: Convert to fraction form
    117,802/255,404 = 255,404/x
  3. Step 3: Cross multiply
    117,802x = 255,404 × 255,404
  4. Step 4: Simplify right side
    117,802x = 65,231,203,216
  5. Step 5: Solve for x
    x = 65,231,203,216/117,802
  6. Step 6: Final answer
    x = 553,735.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.