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Finding the Third Proportional to 168,970.22 and 261,543.94

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Solution

The third proportional to 168,970.22 and 261,543.94 is: 404,836.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,970.22 : 261,543.94 = 261,543.94 : x
  2. Step 2: Convert to fraction form
    168,970.22/261,543.94 = 261,543.94/x
  3. Step 3: Cross multiply
    168,970.22x = 261,543.94 × 261,543.94
  4. Step 4: Simplify right side
    168,970.22x = 68,405,231,243.00
  5. Step 5: Solve for x
    x = 68,405,231,243.00/168,970.22
  6. Step 6: Final answer
    x = 404,836.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.