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Finding the Third Proportional to 104,355 and 222,205

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Solution

The third proportional to 104,355 and 222,205 is: 473,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,355 : 222,205 = 222,205 : x
  2. Step 2: Convert to fraction form
    104,355/222,205 = 222,205/x
  3. Step 3: Cross multiply
    104,355x = 222,205 × 222,205
  4. Step 4: Simplify right side
    104,355x = 49,375,062,025
  5. Step 5: Solve for x
    x = 49,375,062,025/104,355
  6. Step 6: Final answer
    x = 473,145.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.