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Finding the Third Proportional to 203,134.71 and 437,485.43

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Solution

The third proportional to 203,134.71 and 437,485.43 is: 942,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,134.71 : 437,485.43 = 437,485.43 : x
  2. Step 2: Convert to fraction form
    203,134.71/437,485.43 = 437,485.43/x
  3. Step 3: Cross multiply
    203,134.71x = 437,485.43 × 437,485.43
  4. Step 4: Simplify right side
    203,134.71x = 191,393,501,188.86
  5. Step 5: Solve for x
    x = 191,393,501,188.86/203,134.71
  6. Step 6: Final answer
    x = 942,199.88

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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.