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Finding the Third Proportional to 206,173 and 439,346

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Solution

The third proportional to 206,173 and 439,346 is: 936,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,173 : 439,346 = 439,346 : x
  2. Step 2: Convert to fraction form
    206,173/439,346 = 439,346/x
  3. Step 3: Cross multiply
    206,173x = 439,346 × 439,346
  4. Step 4: Simplify right side
    206,173x = 193,024,907,716
  5. Step 5: Solve for x
    x = 193,024,907,716/206,173
  6. Step 6: Final answer
    x = 936,227.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.