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Finding the Third Proportional to 156,216 and 336,165

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Solution

The third proportional to 156,216 and 336,165 is: 723,401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,216 : 336,165 = 336,165 : x
  2. Step 2: Convert to fraction form
    156,216/336,165 = 336,165/x
  3. Step 3: Cross multiply
    156,216x = 336,165 × 336,165
  4. Step 4: Simplify right side
    156,216x = 113,006,907,225
  5. Step 5: Solve for x
    x = 113,006,907,225/156,216
  6. Step 6: Final answer
    x = 723,401.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.