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Finding the Third Proportional to 201,129.50 and 440,668.50

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Solution

The third proportional to 201,129.50 and 440,668.50 is: 965,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,129.50 : 440,668.50 = 440,668.50 : x
  2. Step 2: Convert to fraction form
    201,129.50/440,668.50 = 440,668.50/x
  3. Step 3: Cross multiply
    201,129.50x = 440,668.50 × 440,668.50
  4. Step 4: Simplify right side
    201,129.50x = 194,188,726,892.25
  5. Step 5: Solve for x
    x = 194,188,726,892.25/201,129.50
  6. Step 6: Final answer
    x = 965,491.02

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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.