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Finding the Third Proportional to 156,745 and 341,462

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Solution

The third proportional to 156,745 and 341,462 is: 743,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,745 : 341,462 = 341,462 : x
  2. Step 2: Convert to fraction form
    156,745/341,462 = 341,462/x
  3. Step 3: Cross multiply
    156,745x = 341,462 × 341,462
  4. Step 4: Simplify right side
    156,745x = 116,596,297,444
  5. Step 5: Solve for x
    x = 116,596,297,444/156,745
  6. Step 6: Final answer
    x = 743,859.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.