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Finding the Third Proportional to 166,130 and 250,923

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Solution

The third proportional to 166,130 and 250,923 is: 378,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,130 : 250,923 = 250,923 : x
  2. Step 2: Convert to fraction form
    166,130/250,923 = 250,923/x
  3. Step 3: Cross multiply
    166,130x = 250,923 × 250,923
  4. Step 4: Simplify right side
    166,130x = 62,962,351,929
  5. Step 5: Solve for x
    x = 62,962,351,929/166,130
  6. Step 6: Final answer
    x = 378,994.47

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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.