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Finding the Third Proportional to 167,236 and 259,054

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Solution

The third proportional to 167,236 and 259,054 is: 401,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,236 : 259,054 = 259,054 : x
  2. Step 2: Convert to fraction form
    167,236/259,054 = 259,054/x
  3. Step 3: Cross multiply
    167,236x = 259,054 × 259,054
  4. Step 4: Simplify right side
    167,236x = 67,108,974,916
  5. Step 5: Solve for x
    x = 67,108,974,916/167,236
  6. Step 6: Final answer
    x = 401,283.07

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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.