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Finding the Third Proportional to 167,208 and 259,020

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Solution

The third proportional to 167,208 and 259,020 is: 401,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,208 : 259,020 = 259,020 : x
  2. Step 2: Convert to fraction form
    167,208/259,020 = 259,020/x
  3. Step 3: Cross multiply
    167,208x = 259,020 × 259,020
  4. Step 4: Simplify right side
    167,208x = 67,091,360,400
  5. Step 5: Solve for x
    x = 67,091,360,400/167,208
  6. Step 6: Final answer
    x = 401,244.92

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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.