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Finding the Third Proportional to 182,239.31 and 256,520.25

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Solution

The third proportional to 182,239.31 and 256,520.25 is: 361,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,239.31 : 256,520.25 = 256,520.25 : x
  2. Step 2: Convert to fraction form
    182,239.31/256,520.25 = 256,520.25/x
  3. Step 3: Cross multiply
    182,239.31x = 256,520.25 × 256,520.25
  4. Step 4: Simplify right side
    182,239.31x = 65,802,638,660.06
  5. Step 5: Solve for x
    x = 65,802,638,660.06/182,239.31
  6. Step 6: Final answer
    x = 361,078.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.