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Finding the Third Proportional to 208,022 and 297,256

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Solution

The third proportional to 208,022 and 297,256 is: 424,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,022 : 297,256 = 297,256 : x
  2. Step 2: Convert to fraction form
    208,022/297,256 = 297,256/x
  3. Step 3: Cross multiply
    208,022x = 297,256 × 297,256
  4. Step 4: Simplify right side
    208,022x = 88,361,129,536
  5. Step 5: Solve for x
    x = 88,361,129,536/208,022
  6. Step 6: Final answer
    x = 424,768.20

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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.