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Finding the Third Proportional to 184.78 and 300.41

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Solution

The third proportional to 184.78 and 300.41 is: 488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.78 : 300.41 = 300.41 : x
  2. Step 2: Convert to fraction form
    184.78/300.41 = 300.41/x
  3. Step 3: Cross multiply
    184.78x = 300.41 × 300.41
  4. Step 4: Simplify right side
    184.78x = 90,246.26
  5. Step 5: Solve for x
    x = 90,246.26/184.78
  6. Step 6: Final answer
    x = 488.40

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.