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Finding the Third Proportional to 156,950 and 341,098

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Solution

The third proportional to 156,950 and 341,098 is: 741,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,950 : 341,098 = 341,098 : x
  2. Step 2: Convert to fraction form
    156,950/341,098 = 341,098/x
  3. Step 3: Cross multiply
    156,950x = 341,098 × 341,098
  4. Step 4: Simplify right side
    156,950x = 116,347,845,604
  5. Step 5: Solve for x
    x = 116,347,845,604/156,950
  6. Step 6: Final answer
    x = 741,305.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.