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Finding the Third Proportional to 222,768.50 and 365,707.50

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Solution

The third proportional to 222,768.50 and 365,707.50 is: 600,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,768.50 : 365,707.50 = 365,707.50 : x
  2. Step 2: Convert to fraction form
    222,768.50/365,707.50 = 365,707.50/x
  3. Step 3: Cross multiply
    222,768.50x = 365,707.50 × 365,707.50
  4. Step 4: Simplify right side
    222,768.50x = 133,741,975,556.25
  5. Step 5: Solve for x
    x = 133,741,975,556.25/222,768.50
  6. Step 6: Final answer
    x = 600,363.05

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.