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Finding the Third Proportional to 356.39 and 533.16

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Solution

The third proportional to 356.39 and 533.16 is: 797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.39 : 533.16 = 533.16 : x
  2. Step 2: Convert to fraction form
    356.39/533.16 = 533.16/x
  3. Step 3: Cross multiply
    356.39x = 533.16 × 533.16
  4. Step 4: Simplify right side
    356.39x = 284,255.59
  5. Step 5: Solve for x
    x = 284,255.59/356.39
  6. Step 6: Final answer
    x = 797.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.