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Finding the Third Proportional to 208,483 and 455,194

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Solution

The third proportional to 208,483 and 455,194 is: 993,853.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,483 : 455,194 = 455,194 : x
  2. Step 2: Convert to fraction form
    208,483/455,194 = 455,194/x
  3. Step 3: Cross multiply
    208,483x = 455,194 × 455,194
  4. Step 4: Simplify right side
    208,483x = 207,201,577,636
  5. Step 5: Solve for x
    x = 207,201,577,636/208,483
  6. Step 6: Final answer
    x = 993,853.59

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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.