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Finding the Third Proportional to 203,906.50 and 307,039

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Solution

The third proportional to 203,906.50 and 307,039 is: 462,334.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,906.50 : 307,039 = 307,039 : x
  2. Step 2: Convert to fraction form
    203,906.50/307,039 = 307,039/x
  3. Step 3: Cross multiply
    203,906.50x = 307,039 × 307,039
  4. Step 4: Simplify right side
    203,906.50x = 94,272,947,521
  5. Step 5: Solve for x
    x = 94,272,947,521/203,906.50
  6. Step 6: Final answer
    x = 462,334.19

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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.