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Finding the Third Proportional to 146,969.44 and 227,083.50

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Solution

The third proportional to 146,969.44 and 227,083.50 is: 350,868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,969.44 : 227,083.50 = 227,083.50 : x
  2. Step 2: Convert to fraction form
    146,969.44/227,083.50 = 227,083.50/x
  3. Step 3: Cross multiply
    146,969.44x = 227,083.50 × 227,083.50
  4. Step 4: Simplify right side
    146,969.44x = 51,566,915,972.25
  5. Step 5: Solve for x
    x = 51,566,915,972.25/146,969.44
  6. Step 6: Final answer
    x = 350,868.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.