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Finding the Third Proportional to 182,040 and 378,616

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Solution

The third proportional to 182,040 and 378,616 is: 787,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,040 : 378,616 = 378,616 : x
  2. Step 2: Convert to fraction form
    182,040/378,616 = 378,616/x
  3. Step 3: Cross multiply
    182,040x = 378,616 × 378,616
  4. Step 4: Simplify right side
    182,040x = 143,350,075,456
  5. Step 5: Solve for x
    x = 143,350,075,456/182,040
  6. Step 6: Final answer
    x = 787,464.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.