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Finding the Third Proportional to 135,964 and 299,114

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Solution

The third proportional to 135,964 and 299,114 is: 658,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,964 : 299,114 = 299,114 : x
  2. Step 2: Convert to fraction form
    135,964/299,114 = 299,114/x
  3. Step 3: Cross multiply
    135,964x = 299,114 × 299,114
  4. Step 4: Simplify right side
    135,964x = 89,469,184,996
  5. Step 5: Solve for x
    x = 89,469,184,996/135,964
  6. Step 6: Final answer
    x = 658,035.84

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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.