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Finding the Third Proportional to 84,624.25 and 185,855.50

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Solution

The third proportional to 84,624.25 and 185,855.50 is: 408,184.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,624.25 : 185,855.50 = 185,855.50 : x
  2. Step 2: Convert to fraction form
    84,624.25/185,855.50 = 185,855.50/x
  3. Step 3: Cross multiply
    84,624.25x = 185,855.50 × 185,855.50
  4. Step 4: Simplify right side
    84,624.25x = 34,542,266,880.25
  5. Step 5: Solve for x
    x = 34,542,266,880.25/84,624.25
  6. Step 6: Final answer
    x = 408,184.02

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