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Finding the Third Proportional to 202,522.88 and 443,187.75

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Solution

The third proportional to 202,522.88 and 443,187.75 is: 969,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,522.88 : 443,187.75 = 443,187.75 : x
  2. Step 2: Convert to fraction form
    202,522.88/443,187.75 = 443,187.75/x
  3. Step 3: Cross multiply
    202,522.88x = 443,187.75 × 443,187.75
  4. Step 4: Simplify right side
    202,522.88x = 196,415,381,750.06
  5. Step 5: Solve for x
    x = 196,415,381,750.06/202,522.88
  6. Step 6: Final answer
    x = 969,842.95

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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.