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Finding the Third Proportional to 173,566.13 and 262,197.84

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Solution

The third proportional to 173,566.13 and 262,197.84 is: 396,089.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,566.13 : 262,197.84 = 262,197.84 : x
  2. Step 2: Convert to fraction form
    173,566.13/262,197.84 = 262,197.84/x
  3. Step 3: Cross multiply
    173,566.13x = 262,197.84 × 262,197.84
  4. Step 4: Simplify right side
    173,566.13x = 68,747,709,267.15
  5. Step 5: Solve for x
    x = 68,747,709,267.15/173,566.13
  6. Step 6: Final answer
    x = 396,089.44

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