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Finding the Third Proportional to 101,530.50 and 223,311

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Solution

The third proportional to 101,530.50 and 223,311 is: 491,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,530.50 : 223,311 = 223,311 : x
  2. Step 2: Convert to fraction form
    101,530.50/223,311 = 223,311/x
  3. Step 3: Cross multiply
    101,530.50x = 223,311 × 223,311
  4. Step 4: Simplify right side
    101,530.50x = 49,867,802,721
  5. Step 5: Solve for x
    x = 49,867,802,721/101,530.50
  6. Step 6: Final answer
    x = 491,160.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.