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Finding the Third Proportional to 307.13 and 451.41

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Solution

The third proportional to 307.13 and 451.41 is: 663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.13 : 451.41 = 451.41 : x
  2. Step 2: Convert to fraction form
    307.13/451.41 = 451.41/x
  3. Step 3: Cross multiply
    307.13x = 451.41 × 451.41
  4. Step 4: Simplify right side
    307.13x = 203,767.60
  5. Step 5: Solve for x
    x = 203,767.60/307.13
  6. Step 6: Final answer
    x = 663.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.