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Finding the Third Proportional to 173,962 and 269,360

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Solution

The third proportional to 173,962 and 269,360 is: 417,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,962 : 269,360 = 269,360 : x
  2. Step 2: Convert to fraction form
    173,962/269,360 = 269,360/x
  3. Step 3: Cross multiply
    173,962x = 269,360 × 269,360
  4. Step 4: Simplify right side
    173,962x = 72,554,809,600
  5. Step 5: Solve for x
    x = 72,554,809,600/173,962
  6. Step 6: Final answer
    x = 417,072.75

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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.