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Finding the Third Proportional to 167,458.50 and 234,234

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Solution

The third proportional to 167,458.50 and 234,234 is: 327,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,458.50 : 234,234 = 234,234 : x
  2. Step 2: Convert to fraction form
    167,458.50/234,234 = 234,234/x
  3. Step 3: Cross multiply
    167,458.50x = 234,234 × 234,234
  4. Step 4: Simplify right side
    167,458.50x = 54,865,566,756
  5. Step 5: Solve for x
    x = 54,865,566,756/167,458.50
  6. Step 6: Final answer
    x = 327,636.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.