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Finding the Third Proportional to 156,914 and 341,026

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Solution

The third proportional to 156,914 and 341,026 is: 741,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,914 : 341,026 = 341,026 : x
  2. Step 2: Convert to fraction form
    156,914/341,026 = 341,026/x
  3. Step 3: Cross multiply
    156,914x = 341,026 × 341,026
  4. Step 4: Simplify right side
    156,914x = 116,298,732,676
  5. Step 5: Solve for x
    x = 116,298,732,676/156,914
  6. Step 6: Final answer
    x = 741,162.25

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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.