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Finding the Third Proportional to 220,744 and 341,727

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Solution

The third proportional to 220,744 and 341,727 is: 529,017.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,744 : 341,727 = 341,727 : x
  2. Step 2: Convert to fraction form
    220,744/341,727 = 341,727/x
  3. Step 3: Cross multiply
    220,744x = 341,727 × 341,727
  4. Step 4: Simplify right side
    220,744x = 116,777,342,529
  5. Step 5: Solve for x
    x = 116,777,342,529/220,744
  6. Step 6: Final answer
    x = 529,017.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.