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Finding the Third Proportional to 280 and 459.25

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Solution

The third proportional to 280 and 459.25 is: 753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280 : 459.25 = 459.25 : x
  2. Step 2: Convert to fraction form
    280/459.25 = 459.25/x
  3. Step 3: Cross multiply
    280x = 459.25 × 459.25
  4. Step 4: Simplify right side
    280x = 210,910.56
  5. Step 5: Solve for x
    x = 210,910.56/280
  6. Step 6: Final answer
    x = 753.25

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.