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Finding the Third Proportional to 146,775.80 and 226,794.94

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Solution

The third proportional to 146,775.80 and 226,794.94 is: 350,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,775.80 : 226,794.94 = 226,794.94 : x
  2. Step 2: Convert to fraction form
    146,775.80/226,794.94 = 226,794.94/x
  3. Step 3: Cross multiply
    146,775.80x = 226,794.94 × 226,794.94
  4. Step 4: Simplify right side
    146,775.80x = 51,435,943,675.63
  5. Step 5: Solve for x
    x = 51,435,943,675.63/146,775.80
  6. Step 6: Final answer
    x = 350,438.87

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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.