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Finding the Third Proportional to 286 and 451.50

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Solution

The third proportional to 286 and 451.50 is: 712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    286 : 451.50 = 451.50 : x
  2. Step 2: Convert to fraction form
    286/451.50 = 451.50/x
  3. Step 3: Cross multiply
    286x = 451.50 × 451.50
  4. Step 4: Simplify right side
    286x = 203,852.25
  5. Step 5: Solve for x
    x = 203,852.25/286
  6. Step 6: Final answer
    x = 712.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.