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Finding the Third Proportional to 284.50 and 768

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Solution

The third proportional to 284.50 and 768 is: 2,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.50 : 768 = 768 : x
  2. Step 2: Convert to fraction form
    284.50/768 = 768/x
  3. Step 3: Cross multiply
    284.50x = 768 × 768
  4. Step 4: Simplify right side
    284.50x = 589,824
  5. Step 5: Solve for x
    x = 589,824/284.50
  6. Step 6: Final answer
    x = 2,073.20

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.