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Finding the Third Proportional to 301.96 and 564.05

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Solution

The third proportional to 301.96 and 564.05 is: 1,053.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.96 : 564.05 = 564.05 : x
  2. Step 2: Convert to fraction form
    301.96/564.05 = 564.05/x
  3. Step 3: Cross multiply
    301.96x = 564.05 × 564.05
  4. Step 4: Simplify right side
    301.96x = 318,148.88
  5. Step 5: Solve for x
    x = 318,148.88/301.96
  6. Step 6: Final answer
    x = 1,053.62

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.