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Finding the Third Proportional to 204,074.44 and 311,510.81

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Solution

The third proportional to 204,074.44 and 311,510.81 is: 475,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,074.44 : 311,510.81 = 311,510.81 : x
  2. Step 2: Convert to fraction form
    204,074.44/311,510.81 = 311,510.81/x
  3. Step 3: Cross multiply
    204,074.44x = 311,510.81 × 311,510.81
  4. Step 4: Simplify right side
    204,074.44x = 97,038,986,304.41
  5. Step 5: Solve for x
    x = 97,038,986,304.41/204,074.44
  6. Step 6: Final answer
    x = 475,507.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.