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Finding the Third Proportional to 223,869 and 337,960

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Solution

The third proportional to 223,869 and 337,960 is: 510,195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,869 : 337,960 = 337,960 : x
  2. Step 2: Convert to fraction form
    223,869/337,960 = 337,960/x
  3. Step 3: Cross multiply
    223,869x = 337,960 × 337,960
  4. Step 4: Simplify right side
    223,869x = 114,216,961,600
  5. Step 5: Solve for x
    x = 114,216,961,600/223,869
  6. Step 6: Final answer
    x = 510,195.52

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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.