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Finding the Third Proportional to 197,524.50 and 281,625

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Solution

The third proportional to 197,524.50 and 281,625 is: 401,533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,524.50 : 281,625 = 281,625 : x
  2. Step 2: Convert to fraction form
    197,524.50/281,625 = 281,625/x
  3. Step 3: Cross multiply
    197,524.50x = 281,625 × 281,625
  4. Step 4: Simplify right side
    197,524.50x = 79,312,640,625
  5. Step 5: Solve for x
    x = 79,312,640,625/197,524.50
  6. Step 6: Final answer
    x = 401,533.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.