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Finding the Third Proportional to 183,555 and 376,991

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Solution

The third proportional to 183,555 and 376,991 is: 774,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,555 : 376,991 = 376,991 : x
  2. Step 2: Convert to fraction form
    183,555/376,991 = 376,991/x
  3. Step 3: Cross multiply
    183,555x = 376,991 × 376,991
  4. Step 4: Simplify right side
    183,555x = 142,122,214,081
  5. Step 5: Solve for x
    x = 142,122,214,081/183,555
  6. Step 6: Final answer
    x = 774,275.91

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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.