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Finding the Third Proportional to 156,204 and 341,298

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Solution

The third proportional to 156,204 and 341,298 is: 745,719.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,204 : 341,298 = 341,298 : x
  2. Step 2: Convert to fraction form
    156,204/341,298 = 341,298/x
  3. Step 3: Cross multiply
    156,204x = 341,298 × 341,298
  4. Step 4: Simplify right side
    156,204x = 116,484,324,804
  5. Step 5: Solve for x
    x = 116,484,324,804/156,204
  6. Step 6: Final answer
    x = 745,719.22

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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.