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Finding the Third Proportional to 133,027 and 200,921

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Solution

The third proportional to 133,027 and 200,921 is: 303,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,027 : 200,921 = 200,921 : x
  2. Step 2: Convert to fraction form
    133,027/200,921 = 200,921/x
  3. Step 3: Cross multiply
    133,027x = 200,921 × 200,921
  4. Step 4: Simplify right side
    133,027x = 40,369,248,241
  5. Step 5: Solve for x
    x = 40,369,248,241/133,027
  6. Step 6: Final answer
    x = 303,466.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.