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Finding the Third Proportional to 236,495 and 367,198

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Solution

The third proportional to 236,495 and 367,198 is: 570,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,495 : 367,198 = 367,198 : x
  2. Step 2: Convert to fraction form
    236,495/367,198 = 367,198/x
  3. Step 3: Cross multiply
    236,495x = 367,198 × 367,198
  4. Step 4: Simplify right side
    236,495x = 134,834,371,204
  5. Step 5: Solve for x
    x = 134,834,371,204/236,495
  6. Step 6: Final answer
    x = 570,136.24

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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.