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Finding the Third Proportional to 172,240 and 231,456

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Solution

The third proportional to 172,240 and 231,456 is: 311,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,240 : 231,456 = 231,456 : x
  2. Step 2: Convert to fraction form
    172,240/231,456 = 231,456/x
  3. Step 3: Cross multiply
    172,240x = 231,456 × 231,456
  4. Step 4: Simplify right side
    172,240x = 53,571,879,936
  5. Step 5: Solve for x
    x = 53,571,879,936/172,240
  6. Step 6: Final answer
    x = 311,030.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.