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Finding the Third Proportional to 221,906.25 and 360,524.25

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Solution

The third proportional to 221,906.25 and 360,524.25 is: 585,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,906.25 : 360,524.25 = 360,524.25 : x
  2. Step 2: Convert to fraction form
    221,906.25/360,524.25 = 360,524.25/x
  3. Step 3: Cross multiply
    221,906.25x = 360,524.25 × 360,524.25
  4. Step 4: Simplify right side
    221,906.25x = 129,977,734,838.06
  5. Step 5: Solve for x
    x = 129,977,734,838.06/221,906.25
  6. Step 6: Final answer
    x = 585,732.65

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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.