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Finding the Third Proportional to 205,375.50 and 307,219.50

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Solution

The third proportional to 205,375.50 and 307,219.50 is: 459,567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,375.50 : 307,219.50 = 307,219.50 : x
  2. Step 2: Convert to fraction form
    205,375.50/307,219.50 = 307,219.50/x
  3. Step 3: Cross multiply
    205,375.50x = 307,219.50 × 307,219.50
  4. Step 4: Simplify right side
    205,375.50x = 94,383,821,180.25
  5. Step 5: Solve for x
    x = 94,383,821,180.25/205,375.50
  6. Step 6: Final answer
    x = 459,567.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.