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Finding the Third Proportional to 204.16 and 445.03

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Solution

The third proportional to 204.16 and 445.03 is: 970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.16 : 445.03 = 445.03 : x
  2. Step 2: Convert to fraction form
    204.16/445.03 = 445.03/x
  3. Step 3: Cross multiply
    204.16x = 445.03 × 445.03
  4. Step 4: Simplify right side
    204.16x = 198,052.81
  5. Step 5: Solve for x
    x = 198,052.81/204.16
  6. Step 6: Final answer
    x = 970.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.