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Finding the Third Proportional to 204.08 and 324.63

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Solution

The third proportional to 204.08 and 324.63 is: 516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.08 : 324.63 = 324.63 : x
  2. Step 2: Convert to fraction form
    204.08/324.63 = 324.63/x
  3. Step 3: Cross multiply
    204.08x = 324.63 × 324.63
  4. Step 4: Simplify right side
    204.08x = 105,386.46
  5. Step 5: Solve for x
    x = 105,386.46/204.08
  6. Step 6: Final answer
    x = 516.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.