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Finding the Third Proportional to 136,786.50 and 284,442.75

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Solution

The third proportional to 136,786.50 and 284,442.75 is: 591,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,786.50 : 284,442.75 = 284,442.75 : x
  2. Step 2: Convert to fraction form
    136,786.50/284,442.75 = 284,442.75/x
  3. Step 3: Cross multiply
    136,786.50x = 284,442.75 × 284,442.75
  4. Step 4: Simplify right side
    136,786.50x = 80,907,678,027.56
  5. Step 5: Solve for x
    x = 80,907,678,027.56/136,786.50
  6. Step 6: Final answer
    x = 591,488.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.