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Finding the Third Proportional to 100,208 and 233,000

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Solution

The third proportional to 100,208 and 233,000 is: 541,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,208 : 233,000 = 233,000 : x
  2. Step 2: Convert to fraction form
    100,208/233,000 = 233,000/x
  3. Step 3: Cross multiply
    100,208x = 233,000 × 233,000
  4. Step 4: Simplify right side
    100,208x = 54,289,000,000
  5. Step 5: Solve for x
    x = 54,289,000,000/100,208
  6. Step 6: Final answer
    x = 541,763.13

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.