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Finding the Third Proportional to 302.25 and 453.38

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Solution

The third proportional to 302.25 and 453.38 is: 680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.25 : 453.38 = 453.38 : x
  2. Step 2: Convert to fraction form
    302.25/453.38 = 453.38/x
  3. Step 3: Cross multiply
    302.25x = 453.38 × 453.38
  4. Step 4: Simplify right side
    302.25x = 205,548.89
  5. Step 5: Solve for x
    x = 205,548.89/302.25
  6. Step 6: Final answer
    x = 680.06

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Why These Related Problems?

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