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Finding the Third Proportional to 208,299 and 315,366

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Solution

The third proportional to 208,299 and 315,366 is: 477,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,299 : 315,366 = 315,366 : x
  2. Step 2: Convert to fraction form
    208,299/315,366 = 315,366/x
  3. Step 3: Cross multiply
    208,299x = 315,366 × 315,366
  4. Step 4: Simplify right side
    208,299x = 99,455,713,956
  5. Step 5: Solve for x
    x = 99,455,713,956/208,299
  6. Step 6: Final answer
    x = 477,466.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.