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Finding the Third Proportional to 171,799.13 and 262,142.25

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Solution

The third proportional to 171,799.13 and 262,142.25 is: 399,993.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,799.13 : 262,142.25 = 262,142.25 : x
  2. Step 2: Convert to fraction form
    171,799.13/262,142.25 = 262,142.25/x
  3. Step 3: Cross multiply
    171,799.13x = 262,142.25 × 262,142.25
  4. Step 4: Simplify right side
    171,799.13x = 68,718,559,235.06
  5. Step 5: Solve for x
    x = 68,718,559,235.06/171,799.13
  6. Step 6: Final answer
    x = 399,993.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.