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Finding the Third Proportional to 302.74 and 454.11

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Solution

The third proportional to 302.74 and 454.11 is: 681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.74 : 454.11 = 454.11 : x
  2. Step 2: Convert to fraction form
    302.74/454.11 = 454.11/x
  3. Step 3: Cross multiply
    302.74x = 454.11 × 454.11
  4. Step 4: Simplify right side
    302.74x = 206,217.87
  5. Step 5: Solve for x
    x = 206,217.87/302.74
  6. Step 6: Final answer
    x = 681.17

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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.