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Finding the Third Proportional to 198,051 and 427,667.25

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Solution

The third proportional to 198,051 and 427,667.25 is: 923,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,051 : 427,667.25 = 427,667.25 : x
  2. Step 2: Convert to fraction form
    198,051/427,667.25 = 427,667.25/x
  3. Step 3: Cross multiply
    198,051x = 427,667.25 × 427,667.25
  4. Step 4: Simplify right side
    198,051x = 182,899,276,722.56
  5. Step 5: Solve for x
    x = 182,899,276,722.56/198,051
  6. Step 6: Final answer
    x = 923,495.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.