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Finding the Third Proportional to 177,223.78 and 269,112.38

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Solution

The third proportional to 177,223.78 and 269,112.38 is: 408,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,223.78 : 269,112.38 = 269,112.38 : x
  2. Step 2: Convert to fraction form
    177,223.78/269,112.38 = 269,112.38/x
  3. Step 3: Cross multiply
    177,223.78x = 269,112.38 × 269,112.38
  4. Step 4: Simplify right side
    177,223.78x = 72,421,470,378.14
  5. Step 5: Solve for x
    x = 72,421,470,378.14/177,223.78
  6. Step 6: Final answer
    x = 408,644.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.