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Finding the Third Proportional to 205.31 and 468.84

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Solution

The third proportional to 205.31 and 468.84 is: 1,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.31 : 468.84 = 468.84 : x
  2. Step 2: Convert to fraction form
    205.31/468.84 = 468.84/x
  3. Step 3: Cross multiply
    205.31x = 468.84 × 468.84
  4. Step 4: Simplify right side
    205.31x = 219,814.46
  5. Step 5: Solve for x
    x = 219,814.46/205.31
  6. Step 6: Final answer
    x = 1,070.63

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.