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Finding the Third Proportional to 284 and 431.25

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Solution

The third proportional to 284 and 431.25 is: 654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284 : 431.25 = 431.25 : x
  2. Step 2: Convert to fraction form
    284/431.25 = 431.25/x
  3. Step 3: Cross multiply
    284x = 431.25 × 431.25
  4. Step 4: Simplify right side
    284x = 185,976.56
  5. Step 5: Solve for x
    x = 185,976.56/284
  6. Step 6: Final answer
    x = 654.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.