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Finding the Third Proportional to 146,233 and 314,227

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Solution

The third proportional to 146,233 and 314,227 is: 675,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,233 : 314,227 = 314,227 : x
  2. Step 2: Convert to fraction form
    146,233/314,227 = 314,227/x
  3. Step 3: Cross multiply
    146,233x = 314,227 × 314,227
  4. Step 4: Simplify right side
    146,233x = 98,738,607,529
  5. Step 5: Solve for x
    x = 98,738,607,529/146,233
  6. Step 6: Final answer
    x = 675,214.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.