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Finding the Third Proportional to 224,242.50 and 347,571

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Solution

The third proportional to 224,242.50 and 347,571 is: 538,727.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,242.50 : 347,571 = 347,571 : x
  2. Step 2: Convert to fraction form
    224,242.50/347,571 = 347,571/x
  3. Step 3: Cross multiply
    224,242.50x = 347,571 × 347,571
  4. Step 4: Simplify right side
    224,242.50x = 120,805,600,041
  5. Step 5: Solve for x
    x = 120,805,600,041/224,242.50
  6. Step 6: Final answer
    x = 538,727.49

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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.