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Finding the Third Proportional to 163,878 and 250,191

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Solution

The third proportional to 163,878 and 250,191 is: 381,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,878 : 250,191 = 250,191 : x
  2. Step 2: Convert to fraction form
    163,878/250,191 = 250,191/x
  3. Step 3: Cross multiply
    163,878x = 250,191 × 250,191
  4. Step 4: Simplify right side
    163,878x = 62,595,536,481
  5. Step 5: Solve for x
    x = 62,595,536,481/163,878
  6. Step 6: Final answer
    x = 381,964.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.