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Finding the Third Proportional to 156,736 and 220,237

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Solution

The third proportional to 156,736 and 220,237 is: 309,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,736 : 220,237 = 220,237 : x
  2. Step 2: Convert to fraction form
    156,736/220,237 = 220,237/x
  3. Step 3: Cross multiply
    156,736x = 220,237 × 220,237
  4. Step 4: Simplify right side
    156,736x = 48,504,336,169
  5. Step 5: Solve for x
    x = 48,504,336,169/156,736
  6. Step 6: Final answer
    x = 309,465.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.