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Finding the Third Proportional to 197,493 and 282,217.50

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Solution

The third proportional to 197,493 and 282,217.50 is: 403,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,493 : 282,217.50 = 282,217.50 : x
  2. Step 2: Convert to fraction form
    197,493/282,217.50 = 282,217.50/x
  3. Step 3: Cross multiply
    197,493x = 282,217.50 × 282,217.50
  4. Step 4: Simplify right side
    197,493x = 79,646,717,306.25
  5. Step 5: Solve for x
    x = 79,646,717,306.25/197,493
  6. Step 6: Final answer
    x = 403,288.81

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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.