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Finding the Third Proportional to 222,112 and 360,870

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Solution

The third proportional to 222,112 and 360,870 is: 586,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,112 : 360,870 = 360,870 : x
  2. Step 2: Convert to fraction form
    222,112/360,870 = 360,870/x
  3. Step 3: Cross multiply
    222,112x = 360,870 × 360,870
  4. Step 4: Simplify right side
    222,112x = 130,227,156,900
  5. Step 5: Solve for x
    x = 130,227,156,900/222,112
  6. Step 6: Final answer
    x = 586,313.02

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.