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Finding the Third Proportional to 201,130.25 and 440,664.75

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Solution

The third proportional to 201,130.25 and 440,664.75 is: 965,470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,130.25 : 440,664.75 = 440,664.75 : x
  2. Step 2: Convert to fraction form
    201,130.25/440,664.75 = 440,664.75/x
  3. Step 3: Cross multiply
    201,130.25x = 440,664.75 × 440,664.75
  4. Step 4: Simplify right side
    201,130.25x = 194,185,421,892.56
  5. Step 5: Solve for x
    x = 194,185,421,892.56/201,130.25
  6. Step 6: Final answer
    x = 965,470.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.