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Finding the Third Proportional to 223,874 and 337,966

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Solution

The third proportional to 223,874 and 337,966 is: 510,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,874 : 337,966 = 337,966 : x
  2. Step 2: Convert to fraction form
    223,874/337,966 = 337,966/x
  3. Step 3: Cross multiply
    223,874x = 337,966 × 337,966
  4. Step 4: Simplify right side
    223,874x = 114,221,017,156
  5. Step 5: Solve for x
    x = 114,221,017,156/223,874
  6. Step 6: Final answer
    x = 510,202.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.