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Finding the Third Proportional to 205,212 and 307,824

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Solution

The third proportional to 205,212 and 307,824 is: 461,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,212 : 307,824 = 307,824 : x
  2. Step 2: Convert to fraction form
    205,212/307,824 = 307,824/x
  3. Step 3: Cross multiply
    205,212x = 307,824 × 307,824
  4. Step 4: Simplify right side
    205,212x = 94,755,614,976
  5. Step 5: Solve for x
    x = 94,755,614,976/205,212
  6. Step 6: Final answer
    x = 461,745.00

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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.