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Finding the Third Proportional to 92,238 and 202,533

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Solution

The third proportional to 92,238 and 202,533 is: 444,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,238 : 202,533 = 202,533 : x
  2. Step 2: Convert to fraction form
    92,238/202,533 = 202,533/x
  3. Step 3: Cross multiply
    92,238x = 202,533 × 202,533
  4. Step 4: Simplify right side
    92,238x = 41,019,616,089
  5. Step 5: Solve for x
    x = 41,019,616,089/92,238
  6. Step 6: Final answer
    x = 444,714.93

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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.