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Finding the Third Proportional to 339.75 and 533.81

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Solution

The third proportional to 339.75 and 533.81 is: 838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.75 : 533.81 = 533.81 : x
  2. Step 2: Convert to fraction form
    339.75/533.81 = 533.81/x
  3. Step 3: Cross multiply
    339.75x = 533.81 × 533.81
  4. Step 4: Simplify right side
    339.75x = 284,955.79
  5. Step 5: Solve for x
    x = 284,955.79/339.75
  6. Step 6: Final answer
    x = 838.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.