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Finding the Third Proportional to 223,870 and 337,962

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Solution

The third proportional to 223,870 and 337,962 is: 510,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,870 : 337,962 = 337,962 : x
  2. Step 2: Convert to fraction form
    223,870/337,962 = 337,962/x
  3. Step 3: Cross multiply
    223,870x = 337,962 × 337,962
  4. Step 4: Simplify right side
    223,870x = 114,218,313,444
  5. Step 5: Solve for x
    x = 114,218,313,444/223,870
  6. Step 6: Final answer
    x = 510,199.28

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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.