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Finding the Third Proportional to 92.39 and 202.50

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Solution

The third proportional to 92.39 and 202.50 is: 443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.39 : 202.50 = 202.50 : x
  2. Step 2: Convert to fraction form
    92.39/202.50 = 202.50/x
  3. Step 3: Cross multiply
    92.39x = 202.50 × 202.50
  4. Step 4: Simplify right side
    92.39x = 41,006.25
  5. Step 5: Solve for x
    x = 41,006.25/92.39
  6. Step 6: Final answer
    x = 443.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.