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Finding the Third Proportional to 170,950.50 and 443,778.75

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Solution

The third proportional to 170,950.50 and 443,778.75 is: 1,152,026.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,950.50 : 443,778.75 = 443,778.75 : x
  2. Step 2: Convert to fraction form
    170,950.50/443,778.75 = 443,778.75/x
  3. Step 3: Cross multiply
    170,950.50x = 443,778.75 × 443,778.75
  4. Step 4: Simplify right side
    170,950.50x = 196,939,578,951.56
  5. Step 5: Solve for x
    x = 196,939,578,951.56/170,950.50
  6. Step 6: Final answer
    x = 1,152,026.93

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.