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Finding the Third Proportional to 183,098 and 277,230

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Solution

The third proportional to 183,098 and 277,230 is: 419,755.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,098 : 277,230 = 277,230 : x
  2. Step 2: Convert to fraction form
    183,098/277,230 = 277,230/x
  3. Step 3: Cross multiply
    183,098x = 277,230 × 277,230
  4. Step 4: Simplify right side
    183,098x = 76,856,472,900
  5. Step 5: Solve for x
    x = 76,856,472,900/183,098
  6. Step 6: Final answer
    x = 419,755.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.