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Finding the Third Proportional to 332.16 and 444.09

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Solution

The third proportional to 332.16 and 444.09 is: 593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.16 : 444.09 = 444.09 : x
  2. Step 2: Convert to fraction form
    332.16/444.09 = 444.09/x
  3. Step 3: Cross multiply
    332.16x = 444.09 × 444.09
  4. Step 4: Simplify right side
    332.16x = 197,219.26
  5. Step 5: Solve for x
    x = 197,219.26/332.16
  6. Step 6: Final answer
    x = 593.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.