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Finding the Third Proportional to 156,720 and 220,213.50

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Solution

The third proportional to 156,720 and 220,213.50 is: 309,430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,720 : 220,213.50 = 220,213.50 : x
  2. Step 2: Convert to fraction form
    156,720/220,213.50 = 220,213.50/x
  3. Step 3: Cross multiply
    156,720x = 220,213.50 × 220,213.50
  4. Step 4: Simplify right side
    156,720x = 48,493,985,582.25
  5. Step 5: Solve for x
    x = 48,493,985,582.25/156,720
  6. Step 6: Final answer
    x = 309,430.74

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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.