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Finding the Third Proportional to 156,982 and 339,236

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Solution

The third proportional to 156,982 and 339,236 is: 733,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,982 : 339,236 = 339,236 : x
  2. Step 2: Convert to fraction form
    156,982/339,236 = 339,236/x
  3. Step 3: Cross multiply
    156,982x = 339,236 × 339,236
  4. Step 4: Simplify right side
    156,982x = 115,081,063,696
  5. Step 5: Solve for x
    x = 115,081,063,696/156,982
  6. Step 6: Final answer
    x = 733,084.45

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Why These Related Problems?

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