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Finding the Third Proportional to 208.75 and 303.88

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Solution

The third proportional to 208.75 and 303.88 is: 442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.75 : 303.88 = 303.88 : x
  2. Step 2: Convert to fraction form
    208.75/303.88 = 303.88/x
  3. Step 3: Cross multiply
    208.75x = 303.88 × 303.88
  4. Step 4: Simplify right side
    208.75x = 92,340.02
  5. Step 5: Solve for x
    x = 92,340.02/208.75
  6. Step 6: Final answer
    x = 442.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.