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Finding the Third Proportional to 229,220 and 354,198

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Solution

The third proportional to 229,220 and 354,198 is: 547,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,220 : 354,198 = 354,198 : x
  2. Step 2: Convert to fraction form
    229,220/354,198 = 354,198/x
  3. Step 3: Cross multiply
    229,220x = 354,198 × 354,198
  4. Step 4: Simplify right side
    229,220x = 125,456,223,204
  5. Step 5: Solve for x
    x = 125,456,223,204/229,220
  6. Step 6: Final answer
    x = 547,317.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.