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Finding the Third Proportional to 74,381 and 163,504

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Solution

The third proportional to 74,381 and 163,504 is: 359,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,381 : 163,504 = 163,504 : x
  2. Step 2: Convert to fraction form
    74,381/163,504 = 163,504/x
  3. Step 3: Cross multiply
    74,381x = 163,504 × 163,504
  4. Step 4: Simplify right side
    74,381x = 26,733,558,016
  5. Step 5: Solve for x
    x = 26,733,558,016/74,381
  6. Step 6: Final answer
    x = 359,413.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.