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Finding the Third Proportional to 301.94 and 661.53

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Solution

The third proportional to 301.94 and 661.53 is: 1,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.94 : 661.53 = 661.53 : x
  2. Step 2: Convert to fraction form
    301.94/661.53 = 661.53/x
  3. Step 3: Cross multiply
    301.94x = 661.53 × 661.53
  4. Step 4: Simplify right side
    301.94x = 437,623.59
  5. Step 5: Solve for x
    x = 437,623.59/301.94
  6. Step 6: Final answer
    x = 1,449.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.