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Finding the Third Proportional to 167,131.50 and 258,902.63

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Solution

The third proportional to 167,131.50 and 258,902.63 is: 401,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,131.50 : 258,902.63 = 258,902.63 : x
  2. Step 2: Convert to fraction form
    167,131.50/258,902.63 = 258,902.63/x
  3. Step 3: Cross multiply
    167,131.50x = 258,902.63 × 258,902.63
  4. Step 4: Simplify right side
    167,131.50x = 67,030,569,231.89
  5. Step 5: Solve for x
    x = 67,030,569,231.89/167,131.50
  6. Step 6: Final answer
    x = 401,064.85

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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.