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Finding the Third Proportional to 183,978 and 276,878.25

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Solution

The third proportional to 183,978 and 276,878.25 is: 416,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,978 : 276,878.25 = 276,878.25 : x
  2. Step 2: Convert to fraction form
    183,978/276,878.25 = 276,878.25/x
  3. Step 3: Cross multiply
    183,978x = 276,878.25 × 276,878.25
  4. Step 4: Simplify right side
    183,978x = 76,661,565,323.06
  5. Step 5: Solve for x
    x = 76,661,565,323.06/183,978
  6. Step 6: Final answer
    x = 416,688.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.