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Finding the Third Proportional to 201,921.75 and 440,515.13

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Solution

The third proportional to 201,921.75 and 440,515.13 is: 961,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,921.75 : 440,515.13 = 440,515.13 : x
  2. Step 2: Convert to fraction form
    201,921.75/440,515.13 = 440,515.13/x
  3. Step 3: Cross multiply
    201,921.75x = 440,515.13 × 440,515.13
  4. Step 4: Simplify right side
    201,921.75x = 194,053,575,353.77
  5. Step 5: Solve for x
    x = 194,053,575,353.77/201,921.75
  6. Step 6: Final answer
    x = 961,033.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.