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Finding the Third Proportional to 150,687 and 204,653.25

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Solution

The third proportional to 150,687 and 204,653.25 is: 277,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,687 : 204,653.25 = 204,653.25 : x
  2. Step 2: Convert to fraction form
    150,687/204,653.25 = 204,653.25/x
  3. Step 3: Cross multiply
    150,687x = 204,653.25 × 204,653.25
  4. Step 4: Simplify right side
    150,687x = 41,882,952,735.56
  5. Step 5: Solve for x
    x = 41,882,952,735.56/150,687
  6. Step 6: Final answer
    x = 277,946.69

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.