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Finding the Third Proportional to 183,550.50 and 376,983

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Solution

The third proportional to 183,550.50 and 376,983 is: 774,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,550.50 : 376,983 = 376,983 : x
  2. Step 2: Convert to fraction form
    183,550.50/376,983 = 376,983/x
  3. Step 3: Cross multiply
    183,550.50x = 376,983 × 376,983
  4. Step 4: Simplify right side
    183,550.50x = 142,116,182,289
  5. Step 5: Solve for x
    x = 142,116,182,289/183,550.50
  6. Step 6: Final answer
    x = 774,262.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.