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Finding the Third Proportional to 253,046.25 and 382,183.88

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Solution

The third proportional to 253,046.25 and 382,183.88 is: 577,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,046.25 : 382,183.88 = 382,183.88 : x
  2. Step 2: Convert to fraction form
    253,046.25/382,183.88 = 382,183.88/x
  3. Step 3: Cross multiply
    253,046.25x = 382,183.88 × 382,183.88
  4. Step 4: Simplify right side
    253,046.25x = 146,064,514,310.02
  5. Step 5: Solve for x
    x = 146,064,514,310.02/253,046.25
  6. Step 6: Final answer
    x = 577,224.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.