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Finding the Third Proportional to 135,960 and 296,114

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Solution

The third proportional to 135,960 and 296,114 is: 644,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,960 : 296,114 = 296,114 : x
  2. Step 2: Convert to fraction form
    135,960/296,114 = 296,114/x
  3. Step 3: Cross multiply
    135,960x = 296,114 × 296,114
  4. Step 4: Simplify right side
    135,960x = 87,683,500,996
  5. Step 5: Solve for x
    x = 87,683,500,996/135,960
  6. Step 6: Final answer
    x = 644,921.31

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Why These Related Problems?

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