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Finding the Third Proportional to 221,922 and 360,546.75

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Solution

The third proportional to 221,922 and 360,546.75 is: 585,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,922 : 360,546.75 = 360,546.75 : x
  2. Step 2: Convert to fraction form
    221,922/360,546.75 = 360,546.75/x
  3. Step 3: Cross multiply
    221,922x = 360,546.75 × 360,546.75
  4. Step 4: Simplify right side
    221,922x = 129,993,958,935.56
  5. Step 5: Solve for x
    x = 129,993,958,935.56/221,922
  6. Step 6: Final answer
    x = 585,764.18

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Why These Related Problems?

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