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Finding the Third Proportional to 149,415.75 and 224,687.25

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Solution

The third proportional to 149,415.75 and 224,687.25 is: 337,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,415.75 : 224,687.25 = 224,687.25 : x
  2. Step 2: Convert to fraction form
    149,415.75/224,687.25 = 224,687.25/x
  3. Step 3: Cross multiply
    149,415.75x = 224,687.25 × 224,687.25
  4. Step 4: Simplify right side
    149,415.75x = 50,484,360,312.56
  5. Step 5: Solve for x
    x = 50,484,360,312.56/149,415.75
  6. Step 6: Final answer
    x = 337,878.44

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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.