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Finding the Third Proportional to 164,918.25 and 246,945.38

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Solution

The third proportional to 164,918.25 and 246,945.38 is: 369,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,918.25 : 246,945.38 = 246,945.38 : x
  2. Step 2: Convert to fraction form
    164,918.25/246,945.38 = 246,945.38/x
  3. Step 3: Cross multiply
    164,918.25x = 246,945.38 × 246,945.38
  4. Step 4: Simplify right side
    164,918.25x = 60,982,018,233.89
  5. Step 5: Solve for x
    x = 60,982,018,233.89/164,918.25
  6. Step 6: Final answer
    x = 369,771.19

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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.