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Finding the Third Proportional to 163,786 and 246,833

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Solution

The third proportional to 163,786 and 246,833 is: 371,988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,786 : 246,833 = 246,833 : x
  2. Step 2: Convert to fraction form
    163,786/246,833 = 246,833/x
  3. Step 3: Cross multiply
    163,786x = 246,833 × 246,833
  4. Step 4: Simplify right side
    163,786x = 60,926,529,889
  5. Step 5: Solve for x
    x = 60,926,529,889/163,786
  6. Step 6: Final answer
    x = 371,988.63

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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.