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Finding the Third Proportional to 302.34 and 452.34

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Solution

The third proportional to 302.34 and 452.34 is: 676.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.34 : 452.34 = 452.34 : x
  2. Step 2: Convert to fraction form
    302.34/452.34 = 452.34/x
  3. Step 3: Cross multiply
    302.34x = 452.34 × 452.34
  4. Step 4: Simplify right side
    302.34x = 204,614.87
  5. Step 5: Solve for x
    x = 204,614.87/302.34
  6. Step 6: Final answer
    x = 676.76

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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.