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Finding the Third Proportional to 135,144 and 289,964

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Solution

The third proportional to 135,144 and 289,964 is: 622,144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,144 : 289,964 = 289,964 : x
  2. Step 2: Convert to fraction form
    135,144/289,964 = 289,964/x
  3. Step 3: Cross multiply
    135,144x = 289,964 × 289,964
  4. Step 4: Simplify right side
    135,144x = 84,079,121,296
  5. Step 5: Solve for x
    x = 84,079,121,296/135,144
  6. Step 6: Final answer
    x = 622,144.68

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Why These Related Problems?

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