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Finding the Third Proportional to 197,494 and 282,219

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Solution

The third proportional to 197,494 and 282,219 is: 403,291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,494 : 282,219 = 282,219 : x
  2. Step 2: Convert to fraction form
    197,494/282,219 = 282,219/x
  3. Step 3: Cross multiply
    197,494x = 282,219 × 282,219
  4. Step 4: Simplify right side
    197,494x = 79,647,563,961
  5. Step 5: Solve for x
    x = 79,647,563,961/197,494
  6. Step 6: Final answer
    x = 403,291.06

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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.