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Finding the Third Proportional to 220,183 and 337,383

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Solution

The third proportional to 220,183 and 337,383 is: 516,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,183 : 337,383 = 337,383 : x
  2. Step 2: Convert to fraction form
    220,183/337,383 = 337,383/x
  3. Step 3: Cross multiply
    220,183x = 337,383 × 337,383
  4. Step 4: Simplify right side
    220,183x = 113,827,288,689
  5. Step 5: Solve for x
    x = 113,827,288,689/220,183
  6. Step 6: Final answer
    x = 516,966.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.