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Finding the Third Proportional to 173,728 and 261,010

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Solution

The third proportional to 173,728 and 261,010 is: 392,143.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,728 : 261,010 = 261,010 : x
  2. Step 2: Convert to fraction form
    173,728/261,010 = 261,010/x
  3. Step 3: Cross multiply
    173,728x = 261,010 × 261,010
  4. Step 4: Simplify right side
    173,728x = 68,126,220,100
  5. Step 5: Solve for x
    x = 68,126,220,100/173,728
  6. Step 6: Final answer
    x = 392,143.01

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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.