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Finding the Third Proportional to 92.07 and 200.29

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Solution

The third proportional to 92.07 and 200.29 is: 435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.07 : 200.29 = 200.29 : x
  2. Step 2: Convert to fraction form
    92.07/200.29 = 200.29/x
  3. Step 3: Cross multiply
    92.07x = 200.29 × 200.29
  4. Step 4: Simplify right side
    92.07x = 40,114.14
  5. Step 5: Solve for x
    x = 40,114.14/92.07
  6. Step 6: Final answer
    x = 435.67

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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.