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Finding the Third Proportional to 368.88 and 533.19

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Solution

The third proportional to 368.88 and 533.19 is: 770.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.88 : 533.19 = 533.19 : x
  2. Step 2: Convert to fraction form
    368.88/533.19 = 533.19/x
  3. Step 3: Cross multiply
    368.88x = 533.19 × 533.19
  4. Step 4: Simplify right side
    368.88x = 284,288.91
  5. Step 5: Solve for x
    x = 284,288.91/368.88
  6. Step 6: Final answer
    x = 770.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.