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Finding the Third Proportional to 98,845 and 233,223

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Solution

The third proportional to 98,845 and 233,223 is: 550,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,845 : 233,223 = 233,223 : x
  2. Step 2: Convert to fraction form
    98,845/233,223 = 233,223/x
  3. Step 3: Cross multiply
    98,845x = 233,223 × 233,223
  4. Step 4: Simplify right side
    98,845x = 54,392,967,729
  5. Step 5: Solve for x
    x = 54,392,967,729/98,845
  6. Step 6: Final answer
    x = 550,285.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.