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Finding the Third Proportional to 181,777 and 388,826

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Solution

The third proportional to 181,777 and 388,826 is: 831,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,777 : 388,826 = 388,826 : x
  2. Step 2: Convert to fraction form
    181,777/388,826 = 388,826/x
  3. Step 3: Cross multiply
    181,777x = 388,826 × 388,826
  4. Step 4: Simplify right side
    181,777x = 151,185,658,276
  5. Step 5: Solve for x
    x = 151,185,658,276/181,777
  6. Step 6: Final answer
    x = 831,709.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.