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Finding the Third Proportional to 181,914 and 382,679

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Solution

The third proportional to 181,914 and 382,679 is: 805,013.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,914 : 382,679 = 382,679 : x
  2. Step 2: Convert to fraction form
    181,914/382,679 = 382,679/x
  3. Step 3: Cross multiply
    181,914x = 382,679 × 382,679
  4. Step 4: Simplify right side
    181,914x = 146,443,217,041
  5. Step 5: Solve for x
    x = 146,443,217,041/181,914
  6. Step 6: Final answer
    x = 805,013.45

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