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Finding the Third Proportional to 146,849 and 212,007

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Solution

The third proportional to 146,849 and 212,007 is: 306,076.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,849 : 212,007 = 212,007 : x
  2. Step 2: Convert to fraction form
    146,849/212,007 = 212,007/x
  3. Step 3: Cross multiply
    146,849x = 212,007 × 212,007
  4. Step 4: Simplify right side
    146,849x = 44,946,968,049
  5. Step 5: Solve for x
    x = 44,946,968,049/146,849
  6. Step 6: Final answer
    x = 306,076.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.