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Finding the Third Proportional to 84,657 and 186,027

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Solution

The third proportional to 84,657 and 186,027 is: 408,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,657 : 186,027 = 186,027 : x
  2. Step 2: Convert to fraction form
    84,657/186,027 = 186,027/x
  3. Step 3: Cross multiply
    84,657x = 186,027 × 186,027
  4. Step 4: Simplify right side
    84,657x = 34,606,044,729
  5. Step 5: Solve for x
    x = 34,606,044,729/84,657
  6. Step 6: Final answer
    x = 408,779.48

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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.