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Finding the Third Proportional to 146,415.38 and 221,469.75

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Solution

The third proportional to 146,415.38 and 221,469.75 is: 334,997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,415.38 : 221,469.75 = 221,469.75 : x
  2. Step 2: Convert to fraction form
    146,415.38/221,469.75 = 221,469.75/x
  3. Step 3: Cross multiply
    146,415.38x = 221,469.75 × 221,469.75
  4. Step 4: Simplify right side
    146,415.38x = 49,048,850,165.06
  5. Step 5: Solve for x
    x = 49,048,850,165.06/146,415.38
  6. Step 6: Final answer
    x = 334,997.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.