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Finding the Third Proportional to 156,156 and 347,244

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Solution

The third proportional to 156,156 and 347,244 is: 772,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,156 : 347,244 = 347,244 : x
  2. Step 2: Convert to fraction form
    156,156/347,244 = 347,244/x
  3. Step 3: Cross multiply
    156,156x = 347,244 × 347,244
  4. Step 4: Simplify right side
    156,156x = 120,578,395,536
  5. Step 5: Solve for x
    x = 120,578,395,536/156,156
  6. Step 6: Final answer
    x = 772,166.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.