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Finding the Third Proportional to 156,941 and 343,225

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Solution

The third proportional to 156,941 and 343,225 is: 750,622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,941 : 343,225 = 343,225 : x
  2. Step 2: Convert to fraction form
    156,941/343,225 = 343,225/x
  3. Step 3: Cross multiply
    156,941x = 343,225 × 343,225
  4. Step 4: Simplify right side
    156,941x = 117,803,400,625
  5. Step 5: Solve for x
    x = 117,803,400,625/156,941
  6. Step 6: Final answer
    x = 750,622.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.