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Finding the Third Proportional to 144,652 and 223,530

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Solution

The third proportional to 144,652 and 223,530 is: 345,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,652 : 223,530 = 223,530 : x
  2. Step 2: Convert to fraction form
    144,652/223,530 = 223,530/x
  3. Step 3: Cross multiply
    144,652x = 223,530 × 223,530
  4. Step 4: Simplify right side
    144,652x = 49,965,660,900
  5. Step 5: Solve for x
    x = 49,965,660,900/144,652
  6. Step 6: Final answer
    x = 345,419.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.