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Finding the Third Proportional to 203,671 and 304,140

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Solution

The third proportional to 203,671 and 304,140 is: 454,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,671 : 304,140 = 304,140 : x
  2. Step 2: Convert to fraction form
    203,671/304,140 = 304,140/x
  3. Step 3: Cross multiply
    203,671x = 304,140 × 304,140
  4. Step 4: Simplify right side
    203,671x = 92,501,139,600
  5. Step 5: Solve for x
    x = 92,501,139,600/203,671
  6. Step 6: Final answer
    x = 454,169.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.