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Finding the Third Proportional to 174,468 and 261,918

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Solution

The third proportional to 174,468 and 261,918 is: 393,201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,468 : 261,918 = 261,918 : x
  2. Step 2: Convert to fraction form
    174,468/261,918 = 261,918/x
  3. Step 3: Cross multiply
    174,468x = 261,918 × 261,918
  4. Step 4: Simplify right side
    174,468x = 68,601,038,724
  5. Step 5: Solve for x
    x = 68,601,038,724/174,468
  6. Step 6: Final answer
    x = 393,201.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.