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Finding the Third Proportional to 222,840 and 336,150

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Solution

The third proportional to 222,840 and 336,150 is: 507,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,840 : 336,150 = 336,150 : x
  2. Step 2: Convert to fraction form
    222,840/336,150 = 336,150/x
  3. Step 3: Cross multiply
    222,840x = 336,150 × 336,150
  4. Step 4: Simplify right side
    222,840x = 112,996,822,500
  5. Step 5: Solve for x
    x = 112,996,822,500/222,840
  6. Step 6: Final answer
    x = 507,076.03

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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.