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Finding the Third Proportional to 220,372.50 and 482,271

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Solution

The third proportional to 220,372.50 and 482,271 is: 1,055,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,372.50 : 482,271 = 482,271 : x
  2. Step 2: Convert to fraction form
    220,372.50/482,271 = 482,271/x
  3. Step 3: Cross multiply
    220,372.50x = 482,271 × 482,271
  4. Step 4: Simplify right side
    220,372.50x = 232,585,317,441
  5. Step 5: Solve for x
    x = 232,585,317,441/220,372.50
  6. Step 6: Final answer
    x = 1,055,418.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.