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Finding the Third Proportional to 163,854 and 246,935.25

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Solution

The third proportional to 163,854 and 246,935.25 is: 372,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,854 : 246,935.25 = 246,935.25 : x
  2. Step 2: Convert to fraction form
    163,854/246,935.25 = 246,935.25/x
  3. Step 3: Cross multiply
    163,854x = 246,935.25 × 246,935.25
  4. Step 4: Simplify right side
    163,854x = 60,977,017,692.56
  5. Step 5: Solve for x
    x = 60,977,017,692.56/163,854
  6. Step 6: Final answer
    x = 372,142.38

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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.