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Finding the Third Proportional to 201,613.50 and 440,163

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Solution

The third proportional to 201,613.50 and 440,163 is: 960,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,613.50 : 440,163 = 440,163 : x
  2. Step 2: Convert to fraction form
    201,613.50/440,163 = 440,163/x
  3. Step 3: Cross multiply
    201,613.50x = 440,163 × 440,163
  4. Step 4: Simplify right side
    201,613.50x = 193,743,466,569
  5. Step 5: Solve for x
    x = 193,743,466,569/201,613.50
  6. Step 6: Final answer
    x = 960,964.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.