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Finding the Third Proportional to 167,148 and 258,930

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Solution

The third proportional to 167,148 and 258,930 is: 401,110.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,148 : 258,930 = 258,930 : x
  2. Step 2: Convert to fraction form
    167,148/258,930 = 258,930/x
  3. Step 3: Cross multiply
    167,148x = 258,930 × 258,930
  4. Step 4: Simplify right side
    167,148x = 67,044,744,900
  5. Step 5: Solve for x
    x = 67,044,744,900/167,148
  6. Step 6: Final answer
    x = 401,110.06

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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.