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Finding the Third Proportional to 185,815.50 and 274,349.25

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Solution

The third proportional to 185,815.50 and 274,349.25 is: 405,065.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,815.50 : 274,349.25 = 274,349.25 : x
  2. Step 2: Convert to fraction form
    185,815.50/274,349.25 = 274,349.25/x
  3. Step 3: Cross multiply
    185,815.50x = 274,349.25 × 274,349.25
  4. Step 4: Simplify right side
    185,815.50x = 75,267,510,975.56
  5. Step 5: Solve for x
    x = 75,267,510,975.56/185,815.50
  6. Step 6: Final answer
    x = 405,065.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.