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Finding the Third Proportional to 163,108 and 250,782

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Solution

The third proportional to 163,108 and 250,782 is: 385,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,108 : 250,782 = 250,782 : x
  2. Step 2: Convert to fraction form
    163,108/250,782 = 250,782/x
  3. Step 3: Cross multiply
    163,108x = 250,782 × 250,782
  4. Step 4: Simplify right side
    163,108x = 62,891,611,524
  5. Step 5: Solve for x
    x = 62,891,611,524/163,108
  6. Step 6: Final answer
    x = 385,582.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.