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Finding the Third Proportional to 208.88 and 304.69

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Solution

The third proportional to 208.88 and 304.69 is: 444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.88 : 304.69 = 304.69 : x
  2. Step 2: Convert to fraction form
    208.88/304.69 = 304.69/x
  3. Step 3: Cross multiply
    208.88x = 304.69 × 304.69
  4. Step 4: Simplify right side
    208.88x = 92,834.47
  5. Step 5: Solve for x
    x = 92,834.47/208.88
  6. Step 6: Final answer
    x = 444.45

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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.