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Finding the Third Proportional to 174,907 and 236,296

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Solution

The third proportional to 174,907 and 236,296 is: 319,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,907 : 236,296 = 236,296 : x
  2. Step 2: Convert to fraction form
    174,907/236,296 = 236,296/x
  3. Step 3: Cross multiply
    174,907x = 236,296 × 236,296
  4. Step 4: Simplify right side
    174,907x = 55,835,799,616
  5. Step 5: Solve for x
    x = 55,835,799,616/174,907
  6. Step 6: Final answer
    x = 319,231.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.