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Finding the Third Proportional to 156,741 and 348,474

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Solution

The third proportional to 156,741 and 348,474 is: 774,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,741 : 348,474 = 348,474 : x
  2. Step 2: Convert to fraction form
    156,741/348,474 = 348,474/x
  3. Step 3: Cross multiply
    156,741x = 348,474 × 348,474
  4. Step 4: Simplify right side
    156,741x = 121,434,128,676
  5. Step 5: Solve for x
    x = 121,434,128,676/156,741
  6. Step 6: Final answer
    x = 774,743.87

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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.