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Finding the Third Proportional to 136,383.75 and 297,553.50

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Solution

The third proportional to 136,383.75 and 297,553.50 is: 649,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,383.75 : 297,553.50 = 297,553.50 : x
  2. Step 2: Convert to fraction form
    136,383.75/297,553.50 = 297,553.50/x
  3. Step 3: Cross multiply
    136,383.75x = 297,553.50 × 297,553.50
  4. Step 4: Simplify right side
    136,383.75x = 88,538,085,362.25
  5. Step 5: Solve for x
    x = 88,538,085,362.25/136,383.75
  6. Step 6: Final answer
    x = 649,183.54

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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.