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Finding the Third Proportional to 203,932.50 and 413,559.75

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Solution

The third proportional to 203,932.50 and 413,559.75 is: 838,668.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,932.50 : 413,559.75 = 413,559.75 : x
  2. Step 2: Convert to fraction form
    203,932.50/413,559.75 = 413,559.75/x
  3. Step 3: Cross multiply
    203,932.50x = 413,559.75 × 413,559.75
  4. Step 4: Simplify right side
    203,932.50x = 171,031,666,820.06
  5. Step 5: Solve for x
    x = 171,031,666,820.06/203,932.50
  6. Step 6: Final answer
    x = 838,668.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.