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Finding the Third Proportional to 285.88 and 387.38

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Solution

The third proportional to 285.88 and 387.38 is: 524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.88 : 387.38 = 387.38 : x
  2. Step 2: Convert to fraction form
    285.88/387.38 = 387.38/x
  3. Step 3: Cross multiply
    285.88x = 387.38 × 387.38
  4. Step 4: Simplify right side
    285.88x = 150,059.39
  5. Step 5: Solve for x
    x = 150,059.39/285.88
  6. Step 6: Final answer
    x = 524.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.