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Finding the Third Proportional to 205.88 and 307.69

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Solution

The third proportional to 205.88 and 307.69 is: 459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 307.69 = 307.69 : x
  2. Step 2: Convert to fraction form
    205.88/307.69 = 307.69/x
  3. Step 3: Cross multiply
    205.88x = 307.69 × 307.69
  4. Step 4: Simplify right side
    205.88x = 94,671.60
  5. Step 5: Solve for x
    x = 94,671.60/205.88
  6. Step 6: Final answer
    x = 459.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.