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Finding the Third Proportional to 135 and 285.38

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Solution

The third proportional to 135 and 285.38 is: 603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135 : 285.38 = 285.38 : x
  2. Step 2: Convert to fraction form
    135/285.38 = 285.38/x
  3. Step 3: Cross multiply
    135x = 285.38 × 285.38
  4. Step 4: Simplify right side
    135x = 81,438.89
  5. Step 5: Solve for x
    x = 81,438.89/135
  6. Step 6: Final answer
    x = 603.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.