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Finding the Third Proportional to 105,990 and 224,250

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Solution

The third proportional to 105,990 and 224,250 is: 474,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,990 : 224,250 = 224,250 : x
  2. Step 2: Convert to fraction form
    105,990/224,250 = 224,250/x
  3. Step 3: Cross multiply
    105,990x = 224,250 × 224,250
  4. Step 4: Simplify right side
    105,990x = 50,288,062,500
  5. Step 5: Solve for x
    x = 50,288,062,500/105,990
  6. Step 6: Final answer
    x = 474,460.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.