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Finding the Third Proportional to 151,018.88 and 204,369.75

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Solution

The third proportional to 151,018.88 and 204,369.75 is: 276,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,018.88 : 204,369.75 = 204,369.75 : x
  2. Step 2: Convert to fraction form
    151,018.88/204,369.75 = 204,369.75/x
  3. Step 3: Cross multiply
    151,018.88x = 204,369.75 × 204,369.75
  4. Step 4: Simplify right side
    151,018.88x = 41,766,994,715.06
  5. Step 5: Solve for x
    x = 41,766,994,715.06/151,018.88
  6. Step 6: Final answer
    x = 276,568.04

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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.