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Finding the Third Proportional to 262,525.50 and 396,193.50

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Solution

The third proportional to 262,525.50 and 396,193.50 is: 597,920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,525.50 : 396,193.50 = 396,193.50 : x
  2. Step 2: Convert to fraction form
    262,525.50/396,193.50 = 396,193.50/x
  3. Step 3: Cross multiply
    262,525.50x = 396,193.50 × 396,193.50
  4. Step 4: Simplify right side
    262,525.50x = 156,969,289,442.25
  5. Step 5: Solve for x
    x = 156,969,289,442.25/262,525.50
  6. Step 6: Final answer
    x = 597,920.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.