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Finding the Third Proportional to 169,798 and 248,678

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Solution

The third proportional to 169,798 and 248,678 is: 364,201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,798 : 248,678 = 248,678 : x
  2. Step 2: Convert to fraction form
    169,798/248,678 = 248,678/x
  3. Step 3: Cross multiply
    169,798x = 248,678 × 248,678
  4. Step 4: Simplify right side
    169,798x = 61,840,747,684
  5. Step 5: Solve for x
    x = 61,840,747,684/169,798
  6. Step 6: Final answer
    x = 364,201.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.