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Finding the Third Proportional to 203,489.72 and 443,140.88

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Solution

The third proportional to 203,489.72 and 443,140.88 is: 965,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,489.72 : 443,140.88 = 443,140.88 : x
  2. Step 2: Convert to fraction form
    203,489.72/443,140.88 = 443,140.88/x
  3. Step 3: Cross multiply
    203,489.72x = 443,140.88 × 443,140.88
  4. Step 4: Simplify right side
    203,489.72x = 196,373,835,095.77
  5. Step 5: Solve for x
    x = 196,373,835,095.77/203,489.72
  6. Step 6: Final answer
    x = 965,030.75

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Why These Related Problems?

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