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Finding the Third Proportional to 302.75 and 462.50

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Solution

The third proportional to 302.75 and 462.50 is: 706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.75 : 462.50 = 462.50 : x
  2. Step 2: Convert to fraction form
    302.75/462.50 = 462.50/x
  3. Step 3: Cross multiply
    302.75x = 462.50 × 462.50
  4. Step 4: Simplify right side
    302.75x = 213,906.25
  5. Step 5: Solve for x
    x = 213,906.25/302.75
  6. Step 6: Final answer
    x = 706.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.