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Finding the Third Proportional to 134,469.50 and 289,686

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Solution

The third proportional to 134,469.50 and 289,686 is: 624,067.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,469.50 : 289,686 = 289,686 : x
  2. Step 2: Convert to fraction form
    134,469.50/289,686 = 289,686/x
  3. Step 3: Cross multiply
    134,469.50x = 289,686 × 289,686
  4. Step 4: Simplify right side
    134,469.50x = 83,917,978,596
  5. Step 5: Solve for x
    x = 83,917,978,596/134,469.50
  6. Step 6: Final answer
    x = 624,067.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.