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Finding the Third Proportional to 150,714 and 232,999

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Solution

The third proportional to 150,714 and 232,999 is: 360,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,714 : 232,999 = 232,999 : x
  2. Step 2: Convert to fraction form
    150,714/232,999 = 232,999/x
  3. Step 3: Cross multiply
    150,714x = 232,999 × 232,999
  4. Step 4: Simplify right side
    150,714x = 54,288,534,001
  5. Step 5: Solve for x
    x = 54,288,534,001/150,714
  6. Step 6: Final answer
    x = 360,208.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.