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Finding the Third Proportional to 167,454 and 364,500

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Solution

The third proportional to 167,454 and 364,500 is: 793,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,454 : 364,500 = 364,500 : x
  2. Step 2: Convert to fraction form
    167,454/364,500 = 364,500/x
  3. Step 3: Cross multiply
    167,454x = 364,500 × 364,500
  4. Step 4: Simplify right side
    167,454x = 132,860,250,000
  5. Step 5: Solve for x
    x = 132,860,250,000/167,454
  6. Step 6: Final answer
    x = 793,413.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.