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Finding the Third Proportional to 164,468 and 246,054

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Solution

The third proportional to 164,468 and 246,054 is: 368,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,468 : 246,054 = 246,054 : x
  2. Step 2: Convert to fraction form
    164,468/246,054 = 246,054/x
  3. Step 3: Cross multiply
    164,468x = 246,054 × 246,054
  4. Step 4: Simplify right side
    164,468x = 60,542,570,916
  5. Step 5: Solve for x
    x = 60,542,570,916/164,468
  6. Step 6: Final answer
    x = 368,111.55

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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.