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Finding the Third Proportional to 92,328 and 204,032

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Solution

The third proportional to 92,328 and 204,032 is: 450,882.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,328 : 204,032 = 204,032 : x
  2. Step 2: Convert to fraction form
    92,328/204,032 = 204,032/x
  3. Step 3: Cross multiply
    92,328x = 204,032 × 204,032
  4. Step 4: Simplify right side
    92,328x = 41,629,057,024
  5. Step 5: Solve for x
    x = 41,629,057,024/92,328
  6. Step 6: Final answer
    x = 450,882.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.