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Finding the Third Proportional to 150,927.47 and 204,247.83

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Solution

The third proportional to 150,927.47 and 204,247.83 is: 276,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,927.47 : 204,247.83 = 204,247.83 : x
  2. Step 2: Convert to fraction form
    150,927.47/204,247.83 = 204,247.83/x
  3. Step 3: Cross multiply
    150,927.47x = 204,247.83 × 204,247.83
  4. Step 4: Simplify right side
    150,927.47x = 41,717,175,293.78
  5. Step 5: Solve for x
    x = 41,717,175,293.78/150,927.47
  6. Step 6: Final answer
    x = 276,405.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.