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Finding the Third Proportional to 207,843 and 304,361

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Solution

The third proportional to 207,843 and 304,361 is: 445,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,843 : 304,361 = 304,361 : x
  2. Step 2: Convert to fraction form
    207,843/304,361 = 304,361/x
  3. Step 3: Cross multiply
    207,843x = 304,361 × 304,361
  4. Step 4: Simplify right side
    207,843x = 92,635,618,321
  5. Step 5: Solve for x
    x = 92,635,618,321/207,843
  6. Step 6: Final answer
    x = 445,699.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.