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Finding the Third Proportional to 222,870 and 325,770

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Solution

The third proportional to 222,870 and 325,770 is: 476,179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,870 : 325,770 = 325,770 : x
  2. Step 2: Convert to fraction form
    222,870/325,770 = 325,770/x
  3. Step 3: Cross multiply
    222,870x = 325,770 × 325,770
  4. Step 4: Simplify right side
    222,870x = 106,126,092,900
  5. Step 5: Solve for x
    x = 106,126,092,900/222,870
  6. Step 6: Final answer
    x = 476,179.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.