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Finding the Third Proportional to 163,782 and 246,827.25

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Solution

The third proportional to 163,782 and 246,827.25 is: 371,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,782 : 246,827.25 = 246,827.25 : x
  2. Step 2: Convert to fraction form
    163,782/246,827.25 = 246,827.25/x
  3. Step 3: Cross multiply
    163,782x = 246,827.25 × 246,827.25
  4. Step 4: Simplify right side
    163,782x = 60,923,691,342.56
  5. Step 5: Solve for x
    x = 60,923,691,342.56/163,782
  6. Step 6: Final answer
    x = 371,980.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.