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Finding the Third Proportional to 301.88 and 458.02

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Solution

The third proportional to 301.88 and 458.02 is: 694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.88 : 458.02 = 458.02 : x
  2. Step 2: Convert to fraction form
    301.88/458.02 = 458.02/x
  3. Step 3: Cross multiply
    301.88x = 458.02 × 458.02
  4. Step 4: Simplify right side
    301.88x = 209,778.31
  5. Step 5: Solve for x
    x = 209,778.31/301.88
  6. Step 6: Final answer
    x = 694.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.