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Finding the Third Proportional to 301.78 and 661.22

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Solution

The third proportional to 301.78 and 661.22 is: 1,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.78 : 661.22 = 661.22 : x
  2. Step 2: Convert to fraction form
    301.78/661.22 = 661.22/x
  3. Step 3: Cross multiply
    301.78x = 661.22 × 661.22
  4. Step 4: Simplify right side
    301.78x = 437,210.24
  5. Step 5: Solve for x
    x = 437,210.24/301.78
  6. Step 6: Final answer
    x = 1,448.77

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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.