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Finding the Third Proportional to 161,226.75 and 341,661

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Solution

The third proportional to 161,226.75 and 341,661 is: 724,025.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,226.75 : 341,661 = 341,661 : x
  2. Step 2: Convert to fraction form
    161,226.75/341,661 = 341,661/x
  3. Step 3: Cross multiply
    161,226.75x = 341,661 × 341,661
  4. Step 4: Simplify right side
    161,226.75x = 116,732,238,921
  5. Step 5: Solve for x
    x = 116,732,238,921/161,226.75
  6. Step 6: Final answer
    x = 724,025.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.