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Finding the Third Proportional to 146,968 and 313,172

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Solution

The third proportional to 146,968 and 313,172 is: 667,333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,968 : 313,172 = 313,172 : x
  2. Step 2: Convert to fraction form
    146,968/313,172 = 313,172/x
  3. Step 3: Cross multiply
    146,968x = 313,172 × 313,172
  4. Step 4: Simplify right side
    146,968x = 98,076,701,584
  5. Step 5: Solve for x
    x = 98,076,701,584/146,968
  6. Step 6: Final answer
    x = 667,333.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.