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Finding the Third Proportional to 90,284 and 192,233

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Solution

The third proportional to 90,284 and 192,233 is: 409,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,284 : 192,233 = 192,233 : x
  2. Step 2: Convert to fraction form
    90,284/192,233 = 192,233/x
  3. Step 3: Cross multiply
    90,284x = 192,233 × 192,233
  4. Step 4: Simplify right side
    90,284x = 36,953,526,289
  5. Step 5: Solve for x
    x = 36,953,526,289/90,284
  6. Step 6: Final answer
    x = 409,303.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.