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Finding the Third Proportional to 189,928 and 295,252

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Solution

The third proportional to 189,928 and 295,252 is: 458,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,928 : 295,252 = 295,252 : x
  2. Step 2: Convert to fraction form
    189,928/295,252 = 295,252/x
  3. Step 3: Cross multiply
    189,928x = 295,252 × 295,252
  4. Step 4: Simplify right side
    189,928x = 87,173,743,504
  5. Step 5: Solve for x
    x = 87,173,743,504/189,928
  6. Step 6: Final answer
    x = 458,983.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.