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Finding the Third Proportional to 84,671 and 186,619

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Solution

The third proportional to 84,671 and 186,619 is: 411,317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,671 : 186,619 = 186,619 : x
  2. Step 2: Convert to fraction form
    84,671/186,619 = 186,619/x
  3. Step 3: Cross multiply
    84,671x = 186,619 × 186,619
  4. Step 4: Simplify right side
    84,671x = 34,826,651,161
  5. Step 5: Solve for x
    x = 34,826,651,161/84,671
  6. Step 6: Final answer
    x = 411,317.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.