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Finding the Third Proportional to 117,682 and 259,117

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Solution

The third proportional to 117,682 and 259,117 is: 570,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,682 : 259,117 = 259,117 : x
  2. Step 2: Convert to fraction form
    117,682/259,117 = 259,117/x
  3. Step 3: Cross multiply
    117,682x = 259,117 × 259,117
  4. Step 4: Simplify right side
    117,682x = 67,141,619,689
  5. Step 5: Solve for x
    x = 67,141,619,689/117,682
  6. Step 6: Final answer
    x = 570,534.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.