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Finding the Third Proportional to 222,116 and 353,266

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Solution

The third proportional to 222,116 and 353,266 is: 561,854.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,116 : 353,266 = 353,266 : x
  2. Step 2: Convert to fraction form
    222,116/353,266 = 353,266/x
  3. Step 3: Cross multiply
    222,116x = 353,266 × 353,266
  4. Step 4: Simplify right side
    222,116x = 124,796,866,756
  5. Step 5: Solve for x
    x = 124,796,866,756/222,116
  6. Step 6: Final answer
    x = 561,854.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.