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Finding the Third Proportional to 84,684 and 180,614

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Solution

The third proportional to 84,684 and 180,614 is: 385,213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,684 : 180,614 = 180,614 : x
  2. Step 2: Convert to fraction form
    84,684/180,614 = 180,614/x
  3. Step 3: Cross multiply
    84,684x = 180,614 × 180,614
  4. Step 4: Simplify right side
    84,684x = 32,621,416,996
  5. Step 5: Solve for x
    x = 32,621,416,996/84,684
  6. Step 6: Final answer
    x = 385,213.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.