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Finding the Third Proportional to 168,592.50 and 361,098

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Solution

The third proportional to 168,592.50 and 361,098 is: 773,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,592.50 : 361,098 = 361,098 : x
  2. Step 2: Convert to fraction form
    168,592.50/361,098 = 361,098/x
  3. Step 3: Cross multiply
    168,592.50x = 361,098 × 361,098
  4. Step 4: Simplify right side
    168,592.50x = 130,391,765,604
  5. Step 5: Solve for x
    x = 130,391,765,604/168,592.50
  6. Step 6: Final answer
    x = 773,413.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.