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Finding the Third Proportional to 222,138 and 352,887

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Solution

The third proportional to 222,138 and 352,887 is: 560,594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,138 : 352,887 = 352,887 : x
  2. Step 2: Convert to fraction form
    222,138/352,887 = 352,887/x
  3. Step 3: Cross multiply
    222,138x = 352,887 × 352,887
  4. Step 4: Simplify right side
    222,138x = 124,529,234,769
  5. Step 5: Solve for x
    x = 124,529,234,769/222,138
  6. Step 6: Final answer
    x = 560,594.02

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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.