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Finding the Third Proportional to 168,166 and 367,898

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Solution

The third proportional to 168,166 and 367,898 is: 804,853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,166 : 367,898 = 367,898 : x
  2. Step 2: Convert to fraction form
    168,166/367,898 = 367,898/x
  3. Step 3: Cross multiply
    168,166x = 367,898 × 367,898
  4. Step 4: Simplify right side
    168,166x = 135,348,938,404
  5. Step 5: Solve for x
    x = 135,348,938,404/168,166
  6. Step 6: Final answer
    x = 804,853.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.