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Finding the Third Proportional to 178,455 and 260,977

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Solution

The third proportional to 178,455 and 260,977 is: 381,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,455 : 260,977 = 260,977 : x
  2. Step 2: Convert to fraction form
    178,455/260,977 = 260,977/x
  3. Step 3: Cross multiply
    178,455x = 260,977 × 260,977
  4. Step 4: Simplify right side
    178,455x = 68,108,994,529
  5. Step 5: Solve for x
    x = 68,108,994,529/178,455
  6. Step 6: Final answer
    x = 381,659.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.