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Finding the Third Proportional to 285.56 and 427.69

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Solution

The third proportional to 285.56 and 427.69 is: 640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.56 : 427.69 = 427.69 : x
  2. Step 2: Convert to fraction form
    285.56/427.69 = 427.69/x
  3. Step 3: Cross multiply
    285.56x = 427.69 × 427.69
  4. Step 4: Simplify right side
    285.56x = 182,916.60
  5. Step 5: Solve for x
    x = 182,916.60/285.56
  6. Step 6: Final answer
    x = 640.55

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