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Finding the Third Proportional to 332.16 and 512.16

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Solution

The third proportional to 332.16 and 512.16 is: 789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.16 : 512.16 = 512.16 : x
  2. Step 2: Convert to fraction form
    332.16/512.16 = 512.16/x
  3. Step 3: Cross multiply
    332.16x = 512.16 × 512.16
  4. Step 4: Simplify right side
    332.16x = 262,304.02
  5. Step 5: Solve for x
    x = 262,304.02/332.16
  6. Step 6: Final answer
    x = 789.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.