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Finding the Third Proportional to 205,284 and 307,098

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Solution

The third proportional to 205,284 and 307,098 is: 459,408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,284 : 307,098 = 307,098 : x
  2. Step 2: Convert to fraction form
    205,284/307,098 = 307,098/x
  3. Step 3: Cross multiply
    205,284x = 307,098 × 307,098
  4. Step 4: Simplify right side
    205,284x = 94,309,181,604
  5. Step 5: Solve for x
    x = 94,309,181,604/205,284
  6. Step 6: Final answer
    x = 459,408.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.