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Finding the Third Proportional to 171,690.47 and 252,396.84

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Solution

The third proportional to 171,690.47 and 252,396.84 is: 371,040.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,690.47 : 252,396.84 = 252,396.84 : x
  2. Step 2: Convert to fraction form
    171,690.47/252,396.84 = 252,396.84/x
  3. Step 3: Cross multiply
    171,690.47x = 252,396.84 × 252,396.84
  4. Step 4: Simplify right side
    171,690.47x = 63,704,166,734.96
  5. Step 5: Solve for x
    x = 63,704,166,734.96/171,690.47
  6. Step 6: Final answer
    x = 371,040.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.