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Finding the Third Proportional to 222,748.31 and 365,674.50

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Solution

The third proportional to 222,748.31 and 365,674.50 is: 600,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,748.31 : 365,674.50 = 365,674.50 : x
  2. Step 2: Convert to fraction form
    222,748.31/365,674.50 = 365,674.50/x
  3. Step 3: Cross multiply
    222,748.31x = 365,674.50 × 365,674.50
  4. Step 4: Simplify right side
    222,748.31x = 133,717,839,950.25
  5. Step 5: Solve for x
    x = 133,717,839,950.25/222,748.31
  6. Step 6: Final answer
    x = 600,309.10

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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.