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Finding the Third Proportional to 176,338 and 264,907

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Solution

The third proportional to 176,338 and 264,907 is: 397,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,338 : 264,907 = 264,907 : x
  2. Step 2: Convert to fraction form
    176,338/264,907 = 264,907/x
  3. Step 3: Cross multiply
    176,338x = 264,907 × 264,907
  4. Step 4: Simplify right side
    176,338x = 70,175,718,649
  5. Step 5: Solve for x
    x = 70,175,718,649/176,338
  6. Step 6: Final answer
    x = 397,961.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.