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Finding the Third Proportional to 164,484 and 222,885

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Solution

The third proportional to 164,484 and 222,885 is: 302,021.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,484 : 222,885 = 222,885 : x
  2. Step 2: Convert to fraction form
    164,484/222,885 = 222,885/x
  3. Step 3: Cross multiply
    164,484x = 222,885 × 222,885
  4. Step 4: Simplify right side
    164,484x = 49,677,723,225
  5. Step 5: Solve for x
    x = 49,677,723,225/164,484
  6. Step 6: Final answer
    x = 302,021.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.