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Finding the Third Proportional to 92,724 and 200,230

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Solution

The third proportional to 92,724 and 200,230 is: 432,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,724 : 200,230 = 200,230 : x
  2. Step 2: Convert to fraction form
    92,724/200,230 = 200,230/x
  3. Step 3: Cross multiply
    92,724x = 200,230 × 200,230
  4. Step 4: Simplify right side
    92,724x = 40,092,052,900
  5. Step 5: Solve for x
    x = 40,092,052,900/92,724
  6. Step 6: Final answer
    x = 432,380.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.