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Finding the Third Proportional to 197,464.50 and 282,177

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Solution

The third proportional to 197,464.50 and 282,177 is: 403,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,464.50 : 282,177 = 282,177 : x
  2. Step 2: Convert to fraction form
    197,464.50/282,177 = 282,177/x
  3. Step 3: Cross multiply
    197,464.50x = 282,177 × 282,177
  4. Step 4: Simplify right side
    197,464.50x = 79,623,859,329
  5. Step 5: Solve for x
    x = 79,623,859,329/197,464.50
  6. Step 6: Final answer
    x = 403,231.26

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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.