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Finding the Third Proportional to 156,215 and 343,150

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Solution

The third proportional to 156,215 and 343,150 is: 753,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,215 : 343,150 = 343,150 : x
  2. Step 2: Convert to fraction form
    156,215/343,150 = 343,150/x
  3. Step 3: Cross multiply
    156,215x = 343,150 × 343,150
  4. Step 4: Simplify right side
    156,215x = 117,751,922,500
  5. Step 5: Solve for x
    x = 117,751,922,500/156,215
  6. Step 6: Final answer
    x = 753,781.15

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.