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Finding the Third Proportional to 146,971 and 219,885

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Solution

The third proportional to 146,971 and 219,885 is: 328,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,971 : 219,885 = 219,885 : x
  2. Step 2: Convert to fraction form
    146,971/219,885 = 219,885/x
  3. Step 3: Cross multiply
    146,971x = 219,885 × 219,885
  4. Step 4: Simplify right side
    146,971x = 48,349,413,225
  5. Step 5: Solve for x
    x = 48,349,413,225/146,971
  6. Step 6: Final answer
    x = 328,972.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.