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Finding the Third Proportional to 223,844 and 337,922

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Solution

The third proportional to 223,844 and 337,922 is: 510,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,844 : 337,922 = 337,922 : x
  2. Step 2: Convert to fraction form
    223,844/337,922 = 337,922/x
  3. Step 3: Cross multiply
    223,844x = 337,922 × 337,922
  4. Step 4: Simplify right side
    223,844x = 114,191,278,084
  5. Step 5: Solve for x
    x = 114,191,278,084/223,844
  6. Step 6: Final answer
    x = 510,137.77

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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.