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Finding the Third Proportional to 208,853 and 336,284

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Solution

The third proportional to 208,853 and 336,284 is: 541,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,853 : 336,284 = 336,284 : x
  2. Step 2: Convert to fraction form
    208,853/336,284 = 336,284/x
  3. Step 3: Cross multiply
    208,853x = 336,284 × 336,284
  4. Step 4: Simplify right side
    208,853x = 113,086,928,656
  5. Step 5: Solve for x
    x = 113,086,928,656/208,853
  6. Step 6: Final answer
    x = 541,466.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.