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Finding the Third Proportional to 104,611 and 230,336

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Solution

The third proportional to 104,611 and 230,336 is: 507,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,611 : 230,336 = 230,336 : x
  2. Step 2: Convert to fraction form
    104,611/230,336 = 230,336/x
  3. Step 3: Cross multiply
    104,611x = 230,336 × 230,336
  4. Step 4: Simplify right side
    104,611x = 53,054,672,896
  5. Step 5: Solve for x
    x = 53,054,672,896/104,611
  6. Step 6: Final answer
    x = 507,161.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.