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Finding the Third Proportional to 163,329 and 244,995

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Solution

The third proportional to 163,329 and 244,995 is: 367,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,329 : 244,995 = 244,995 : x
  2. Step 2: Convert to fraction form
    163,329/244,995 = 244,995/x
  3. Step 3: Cross multiply
    163,329x = 244,995 × 244,995
  4. Step 4: Simplify right side
    163,329x = 60,022,550,025
  5. Step 5: Solve for x
    x = 60,022,550,025/163,329
  6. Step 6: Final answer
    x = 367,494.75

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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.