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Finding the Third Proportional to 151,044.75 and 204,393.38

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Solution

The third proportional to 151,044.75 and 204,393.38 is: 276,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,044.75 : 204,393.38 = 204,393.38 : x
  2. Step 2: Convert to fraction form
    151,044.75/204,393.38 = 204,393.38/x
  3. Step 3: Cross multiply
    151,044.75x = 204,393.38 × 204,393.38
  4. Step 4: Simplify right side
    151,044.75x = 41,776,651,743.89
  5. Step 5: Solve for x
    x = 41,776,651,743.89/151,044.75
  6. Step 6: Final answer
    x = 276,584.60

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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.