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Finding the Third Proportional to 207,997 and 297,226

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Solution

The third proportional to 207,997 and 297,226 is: 424,733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,997 : 297,226 = 297,226 : x
  2. Step 2: Convert to fraction form
    207,997/297,226 = 297,226/x
  3. Step 3: Cross multiply
    207,997x = 297,226 × 297,226
  4. Step 4: Simplify right side
    207,997x = 88,343,295,076
  5. Step 5: Solve for x
    x = 88,343,295,076/207,997
  6. Step 6: Final answer
    x = 424,733.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.