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Finding the Third Proportional to 184,860.75 and 378,478

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Solution

The third proportional to 184,860.75 and 378,478 is: 774,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,860.75 : 378,478 = 378,478 : x
  2. Step 2: Convert to fraction form
    184,860.75/378,478 = 378,478/x
  3. Step 3: Cross multiply
    184,860.75x = 378,478 × 378,478
  4. Step 4: Simplify right side
    184,860.75x = 143,245,596,484
  5. Step 5: Solve for x
    x = 143,245,596,484/184,860.75
  6. Step 6: Final answer
    x = 774,883.78

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.