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Finding the Third Proportional to 173,869 and 229,638

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Solution

The third proportional to 173,869 and 229,638 is: 303,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,869 : 229,638 = 229,638 : x
  2. Step 2: Convert to fraction form
    173,869/229,638 = 229,638/x
  3. Step 3: Cross multiply
    173,869x = 229,638 × 229,638
  4. Step 4: Simplify right side
    173,869x = 52,733,611,044
  5. Step 5: Solve for x
    x = 52,733,611,044/173,869
  6. Step 6: Final answer
    x = 303,295.07

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.