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Finding the Third Proportional to 156,600 and 341,427

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Solution

The third proportional to 156,600 and 341,427 is: 744,395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,600 : 341,427 = 341,427 : x
  2. Step 2: Convert to fraction form
    156,600/341,427 = 341,427/x
  3. Step 3: Cross multiply
    156,600x = 341,427 × 341,427
  4. Step 4: Simplify right side
    156,600x = 116,572,396,329
  5. Step 5: Solve for x
    x = 116,572,396,329/156,600
  6. Step 6: Final answer
    x = 744,395.89

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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.