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Finding the Third Proportional to 285.13 and 453.31

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Solution

The third proportional to 285.13 and 453.31 is: 720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.13 : 453.31 = 453.31 : x
  2. Step 2: Convert to fraction form
    285.13/453.31 = 453.31/x
  3. Step 3: Cross multiply
    285.13x = 453.31 × 453.31
  4. Step 4: Simplify right side
    285.13x = 205,492.22
  5. Step 5: Solve for x
    x = 205,492.22/285.13
  6. Step 6: Final answer
    x = 720.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.