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Finding the Third Proportional to 84,684 and 180,616

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Solution

The third proportional to 84,684 and 180,616 is: 385,222.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,684 : 180,616 = 180,616 : x
  2. Step 2: Convert to fraction form
    84,684/180,616 = 180,616/x
  3. Step 3: Cross multiply
    84,684x = 180,616 × 180,616
  4. Step 4: Simplify right side
    84,684x = 32,622,139,456
  5. Step 5: Solve for x
    x = 32,622,139,456/84,684
  6. Step 6: Final answer
    x = 385,222.00

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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.