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Finding the Third Proportional to 219,884 and 334,198

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Solution

The third proportional to 219,884 and 334,198 is: 507,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,884 : 334,198 = 334,198 : x
  2. Step 2: Convert to fraction form
    219,884/334,198 = 334,198/x
  3. Step 3: Cross multiply
    219,884x = 334,198 × 334,198
  4. Step 4: Simplify right side
    219,884x = 111,688,303,204
  5. Step 5: Solve for x
    x = 111,688,303,204/219,884
  6. Step 6: Final answer
    x = 507,941.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.