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Finding the Third Proportional to 150,514 and 331,988

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Solution

The third proportional to 150,514 and 331,988 is: 732,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,514 : 331,988 = 331,988 : x
  2. Step 2: Convert to fraction form
    150,514/331,988 = 331,988/x
  3. Step 3: Cross multiply
    150,514x = 331,988 × 331,988
  4. Step 4: Simplify right side
    150,514x = 110,216,032,144
  5. Step 5: Solve for x
    x = 110,216,032,144/150,514
  6. Step 6: Final answer
    x = 732,264.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.