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Finding the Third Proportional to 263,166.89 and 399,675.52

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Solution

The third proportional to 263,166.89 and 399,675.52 is: 606,993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,166.89 : 399,675.52 = 399,675.52 : x
  2. Step 2: Convert to fraction form
    263,166.89/399,675.52 = 399,675.52/x
  3. Step 3: Cross multiply
    263,166.89x = 399,675.52 × 399,675.52
  4. Step 4: Simplify right side
    263,166.89x = 159,740,517,790.11
  5. Step 5: Solve for x
    x = 159,740,517,790.11/263,166.89
  6. Step 6: Final answer
    x = 606,993.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.