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Finding the Third Proportional to 295,734.80 and 443,102.91

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Solution

The third proportional to 295,734.80 and 443,102.91 is: 663,906.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,734.80 : 443,102.91 = 443,102.91 : x
  2. Step 2: Convert to fraction form
    295,734.80/443,102.91 = 443,102.91/x
  3. Step 3: Cross multiply
    295,734.80x = 443,102.91 × 443,102.91
  4. Step 4: Simplify right side
    295,734.80x = 196,340,185,527.20
  5. Step 5: Solve for x
    x = 196,340,185,527.20/295,734.80
  6. Step 6: Final answer
    x = 663,906.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.