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Finding the Third Proportional to 200.34 and 440.07

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Solution

The third proportional to 200.34 and 440.07 is: 966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.34 : 440.07 = 440.07 : x
  2. Step 2: Convert to fraction form
    200.34/440.07 = 440.07/x
  3. Step 3: Cross multiply
    200.34x = 440.07 × 440.07
  4. Step 4: Simplify right side
    200.34x = 193,660.16
  5. Step 5: Solve for x
    x = 193,660.16/200.34
  6. Step 6: Final answer
    x = 966.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.