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Finding the Third Proportional to 167,458.50 and 227,396.25

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Solution

The third proportional to 167,458.50 and 227,396.25 is: 308,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,458.50 : 227,396.25 = 227,396.25 : x
  2. Step 2: Convert to fraction form
    167,458.50/227,396.25 = 227,396.25/x
  3. Step 3: Cross multiply
    167,458.50x = 227,396.25 × 227,396.25
  4. Step 4: Simplify right side
    167,458.50x = 51,709,054,514.06
  5. Step 5: Solve for x
    x = 51,709,054,514.06/167,458.50
  6. Step 6: Final answer
    x = 308,787.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.