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Finding the Third Proportional to 301.69 and 452.53

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Solution

The third proportional to 301.69 and 452.53 is: 678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.69 : 452.53 = 452.53 : x
  2. Step 2: Convert to fraction form
    301.69/452.53 = 452.53/x
  3. Step 3: Cross multiply
    301.69x = 452.53 × 452.53
  4. Step 4: Simplify right side
    301.69x = 204,784.53
  5. Step 5: Solve for x
    x = 204,784.53/301.69
  6. Step 6: Final answer
    x = 678.80

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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.