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Finding the Third Proportional to 164,444 and 246,006

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Solution

The third proportional to 164,444 and 246,006 is: 368,021.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,444 : 246,006 = 246,006 : x
  2. Step 2: Convert to fraction form
    164,444/246,006 = 246,006/x
  3. Step 3: Cross multiply
    164,444x = 246,006 × 246,006
  4. Step 4: Simplify right side
    164,444x = 60,518,952,036
  5. Step 5: Solve for x
    x = 60,518,952,036/164,444
  6. Step 6: Final answer
    x = 368,021.65

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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.