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Finding the Third Proportional to 182,016 and 376,576

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Solution

The third proportional to 182,016 and 376,576 is: 779,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,016 : 376,576 = 376,576 : x
  2. Step 2: Convert to fraction form
    182,016/376,576 = 376,576/x
  3. Step 3: Cross multiply
    182,016x = 376,576 × 376,576
  4. Step 4: Simplify right side
    182,016x = 141,809,483,776
  5. Step 5: Solve for x
    x = 141,809,483,776/182,016
  6. Step 6: Final answer
    x = 779,104.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.