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Finding the Third Proportional to 135,965.25 and 296,123.25

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Solution

The third proportional to 135,965.25 and 296,123.25 is: 644,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,965.25 : 296,123.25 = 296,123.25 : x
  2. Step 2: Convert to fraction form
    135,965.25/296,123.25 = 296,123.25/x
  3. Step 3: Cross multiply
    135,965.25x = 296,123.25 × 296,123.25
  4. Step 4: Simplify right side
    135,965.25x = 87,688,979,190.56
  5. Step 5: Solve for x
    x = 87,688,979,190.56/135,965.25
  6. Step 6: Final answer
    x = 644,936.70

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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.