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Finding the Third Proportional to 167,860 and 260,299

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Solution

The third proportional to 167,860 and 260,299 is: 403,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,860 : 260,299 = 260,299 : x
  2. Step 2: Convert to fraction form
    167,860/260,299 = 260,299/x
  3. Step 3: Cross multiply
    167,860x = 260,299 × 260,299
  4. Step 4: Simplify right side
    167,860x = 67,755,569,401
  5. Step 5: Solve for x
    x = 67,755,569,401/167,860
  6. Step 6: Final answer
    x = 403,643.33

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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.