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Finding the Third Proportional to 156,353 and 341,381

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Solution

The third proportional to 156,353 and 341,381 is: 745,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,353 : 341,381 = 341,381 : x
  2. Step 2: Convert to fraction form
    156,353/341,381 = 341,381/x
  3. Step 3: Cross multiply
    156,353x = 341,381 × 341,381
  4. Step 4: Simplify right side
    156,353x = 116,540,987,161
  5. Step 5: Solve for x
    x = 116,540,987,161/156,353
  6. Step 6: Final answer
    x = 745,370.97

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Why These Related Problems?

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