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Finding the Third Proportional to 205.88 and 307.88

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Solution

The third proportional to 205.88 and 307.88 is: 460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 307.88 = 307.88 : x
  2. Step 2: Convert to fraction form
    205.88/307.88 = 307.88/x
  3. Step 3: Cross multiply
    205.88x = 307.88 × 307.88
  4. Step 4: Simplify right side
    205.88x = 94,787.02
  5. Step 5: Solve for x
    x = 94,787.02/205.88
  6. Step 6: Final answer
    x = 460.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.