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Finding the Third Proportional to 172,669.50 and 262,605

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Solution

The third proportional to 172,669.50 and 262,605 is: 399,383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,669.50 : 262,605 = 262,605 : x
  2. Step 2: Convert to fraction form
    172,669.50/262,605 = 262,605/x
  3. Step 3: Cross multiply
    172,669.50x = 262,605 × 262,605
  4. Step 4: Simplify right side
    172,669.50x = 68,961,386,025
  5. Step 5: Solve for x
    x = 68,961,386,025/172,669.50
  6. Step 6: Final answer
    x = 399,383.71

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