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Finding the Third Proportional to 201,195 and 301,816.50

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Solution

The third proportional to 201,195 and 301,816.50 is: 452,760.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,195 : 301,816.50 = 301,816.50 : x
  2. Step 2: Convert to fraction form
    201,195/301,816.50 = 301,816.50/x
  3. Step 3: Cross multiply
    201,195x = 301,816.50 × 301,816.50
  4. Step 4: Simplify right side
    201,195x = 91,093,199,672.25
  5. Step 5: Solve for x
    x = 91,093,199,672.25/201,195
  6. Step 6: Final answer
    x = 452,760.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.