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Finding the Third Proportional to 146,798 and 204,261

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Solution

The third proportional to 146,798 and 204,261 is: 284,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,798 : 204,261 = 204,261 : x
  2. Step 2: Convert to fraction form
    146,798/204,261 = 204,261/x
  3. Step 3: Cross multiply
    146,798x = 204,261 × 204,261
  4. Step 4: Simplify right side
    146,798x = 41,722,556,121
  5. Step 5: Solve for x
    x = 41,722,556,121/146,798
  6. Step 6: Final answer
    x = 284,217.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.