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Finding the Third Proportional to 84,975 and 186,676.50

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Solution

The third proportional to 84,975 and 186,676.50 is: 410,098.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,975 : 186,676.50 = 186,676.50 : x
  2. Step 2: Convert to fraction form
    84,975/186,676.50 = 186,676.50/x
  3. Step 3: Cross multiply
    84,975x = 186,676.50 × 186,676.50
  4. Step 4: Simplify right side
    84,975x = 34,848,115,652.25
  5. Step 5: Solve for x
    x = 34,848,115,652.25/84,975
  6. Step 6: Final answer
    x = 410,098.45

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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.