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Finding the Third Proportional to 222,816 and 336,114

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Solution

The third proportional to 222,816 and 336,114 is: 507,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,816 : 336,114 = 336,114 : x
  2. Step 2: Convert to fraction form
    222,816/336,114 = 336,114/x
  3. Step 3: Cross multiply
    222,816x = 336,114 × 336,114
  4. Step 4: Simplify right side
    222,816x = 112,972,620,996
  5. Step 5: Solve for x
    x = 112,972,620,996/222,816
  6. Step 6: Final answer
    x = 507,022.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.