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Finding the Third Proportional to 146,778.10 and 227,269.24

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Solution

The third proportional to 146,778.10 and 227,269.24 is: 351,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,778.10 : 227,269.24 = 227,269.24 : x
  2. Step 2: Convert to fraction form
    146,778.10/227,269.24 = 227,269.24/x
  3. Step 3: Cross multiply
    146,778.10x = 227,269.24 × 227,269.24
  4. Step 4: Simplify right side
    146,778.10x = 51,651,307,112.82
  5. Step 5: Solve for x
    x = 51,651,307,112.82/146,778.10
  6. Step 6: Final answer
    x = 351,900.64

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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.