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Finding the Third Proportional to 146,048 and 314,234

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Solution

The third proportional to 146,048 and 314,234 is: 676,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,048 : 314,234 = 314,234 : x
  2. Step 2: Convert to fraction form
    146,048/314,234 = 314,234/x
  3. Step 3: Cross multiply
    146,048x = 314,234 × 314,234
  4. Step 4: Simplify right side
    146,048x = 98,743,006,756
  5. Step 5: Solve for x
    x = 98,743,006,756/146,048
  6. Step 6: Final answer
    x = 676,099.68

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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.