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Finding the Third Proportional to 181,914.19 and 382,679.44

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Solution

The third proportional to 181,914.19 and 382,679.44 is: 805,014.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,914.19 : 382,679.44 = 382,679.44 : x
  2. Step 2: Convert to fraction form
    181,914.19/382,679.44 = 382,679.44/x
  3. Step 3: Cross multiply
    181,914.19x = 382,679.44 × 382,679.44
  4. Step 4: Simplify right side
    181,914.19x = 146,443,551,885.32
  5. Step 5: Solve for x
    x = 146,443,551,885.32/181,914.19
  6. Step 6: Final answer
    x = 805,014.46

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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.