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Finding the Third Proportional to 222,240 and 490,176

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Solution

The third proportional to 222,240 and 490,176 is: 1,081,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,240 : 490,176 = 490,176 : x
  2. Step 2: Convert to fraction form
    222,240/490,176 = 490,176/x
  3. Step 3: Cross multiply
    222,240x = 490,176 × 490,176
  4. Step 4: Simplify right side
    222,240x = 240,272,510,976
  5. Step 5: Solve for x
    x = 240,272,510,976/222,240
  6. Step 6: Final answer
    x = 1,081,139.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.