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Finding the Third Proportional to 180,123.75 and 388,082.25

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Solution

The third proportional to 180,123.75 and 388,082.25 is: 836,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,123.75 : 388,082.25 = 388,082.25 : x
  2. Step 2: Convert to fraction form
    180,123.75/388,082.25 = 388,082.25/x
  3. Step 3: Cross multiply
    180,123.75x = 388,082.25 × 388,082.25
  4. Step 4: Simplify right side
    180,123.75x = 150,607,832,765.06
  5. Step 5: Solve for x
    x = 150,607,832,765.06/180,123.75
  6. Step 6: Final answer
    x = 836,135.34

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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.