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Finding the Third Proportional to 156,742 and 220,246

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Solution

The third proportional to 156,742 and 220,246 is: 309,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,742 : 220,246 = 220,246 : x
  2. Step 2: Convert to fraction form
    156,742/220,246 = 220,246/x
  3. Step 3: Cross multiply
    156,742x = 220,246 × 220,246
  4. Step 4: Simplify right side
    156,742x = 48,508,300,516
  5. Step 5: Solve for x
    x = 48,508,300,516/156,742
  6. Step 6: Final answer
    x = 309,478.64

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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.