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Finding the Third Proportional to 156,972 and 339,215

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Solution

The third proportional to 156,972 and 339,215 is: 733,040.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,972 : 339,215 = 339,215 : x
  2. Step 2: Convert to fraction form
    156,972/339,215 = 339,215/x
  3. Step 3: Cross multiply
    156,972x = 339,215 × 339,215
  4. Step 4: Simplify right side
    156,972x = 115,066,816,225
  5. Step 5: Solve for x
    x = 115,066,816,225/156,972
  6. Step 6: Final answer
    x = 733,040.39

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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.