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Finding the Third Proportional to 203,869.41 and 437,263.31

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Solution

The third proportional to 203,869.41 and 437,263.31 is: 937,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,869.41 : 437,263.31 = 437,263.31 : x
  2. Step 2: Convert to fraction form
    203,869.41/437,263.31 = 437,263.31/x
  3. Step 3: Cross multiply
    203,869.41x = 437,263.31 × 437,263.31
  4. Step 4: Simplify right side
    203,869.41x = 191,199,204,458.47
  5. Step 5: Solve for x
    x = 191,199,204,458.47/203,869.41
  6. Step 6: Final answer
    x = 937,851.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.