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Finding the Third Proportional to 208,514 and 455,266

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Solution

The third proportional to 208,514 and 455,266 is: 994,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,514 : 455,266 = 455,266 : x
  2. Step 2: Convert to fraction form
    208,514/455,266 = 455,266/x
  3. Step 3: Cross multiply
    208,514x = 455,266 × 455,266
  4. Step 4: Simplify right side
    208,514x = 207,267,130,756
  5. Step 5: Solve for x
    x = 207,267,130,756/208,514
  6. Step 6: Final answer
    x = 994,020.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.