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Finding the Third Proportional to 203,803.88 and 438,771.38

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Solution

The third proportional to 203,803.88 and 438,771.38 is: 944,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,803.88 : 438,771.38 = 438,771.38 : x
  2. Step 2: Convert to fraction form
    203,803.88/438,771.38 = 438,771.38/x
  3. Step 3: Cross multiply
    203,803.88x = 438,771.38 × 438,771.38
  4. Step 4: Simplify right side
    203,803.88x = 192,520,319,519.39
  5. Step 5: Solve for x
    x = 192,520,319,519.39/203,803.88
  6. Step 6: Final answer
    x = 944,635.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.