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Finding the Third Proportional to 118,874 and 259,071.75

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Solution

The third proportional to 118,874 and 259,071.75 is: 564,616.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,874 : 259,071.75 = 259,071.75 : x
  2. Step 2: Convert to fraction form
    118,874/259,071.75 = 259,071.75/x
  3. Step 3: Cross multiply
    118,874x = 259,071.75 × 259,071.75
  4. Step 4: Simplify right side
    118,874x = 67,118,171,648.06
  5. Step 5: Solve for x
    x = 67,118,171,648.06/118,874
  6. Step 6: Final answer
    x = 564,616.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.