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Finding the Third Proportional to 86,852 and 180,616

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Solution

The third proportional to 86,852 and 180,616 is: 375,606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,852 : 180,616 = 180,616 : x
  2. Step 2: Convert to fraction form
    86,852/180,616 = 180,616/x
  3. Step 3: Cross multiply
    86,852x = 180,616 × 180,616
  4. Step 4: Simplify right side
    86,852x = 32,622,139,456
  5. Step 5: Solve for x
    x = 32,622,139,456/86,852
  6. Step 6: Final answer
    x = 375,606.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.