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Finding the Third Proportional to 182,268 and 382,944

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Solution

The third proportional to 182,268 and 382,944 is: 804,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,268 : 382,944 = 382,944 : x
  2. Step 2: Convert to fraction form
    182,268/382,944 = 382,944/x
  3. Step 3: Cross multiply
    182,268x = 382,944 × 382,944
  4. Step 4: Simplify right side
    182,268x = 146,646,107,136
  5. Step 5: Solve for x
    x = 146,646,107,136/182,268
  6. Step 6: Final answer
    x = 804,563.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.