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Finding the Third Proportional to 117,571.50 and 253,728

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Solution

The third proportional to 117,571.50 and 253,728 is: 547,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,571.50 : 253,728 = 253,728 : x
  2. Step 2: Convert to fraction form
    117,571.50/253,728 = 253,728/x
  3. Step 3: Cross multiply
    117,571.50x = 253,728 × 253,728
  4. Step 4: Simplify right side
    117,571.50x = 64,377,897,984
  5. Step 5: Solve for x
    x = 64,377,897,984/117,571.50
  6. Step 6: Final answer
    x = 547,563.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.