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Finding the Third Proportional to 201,205.50 and 301,833

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Solution

The third proportional to 201,205.50 and 301,833 is: 452,786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,205.50 : 301,833 = 301,833 : x
  2. Step 2: Convert to fraction form
    201,205.50/301,833 = 301,833/x
  3. Step 3: Cross multiply
    201,205.50x = 301,833 × 301,833
  4. Step 4: Simplify right side
    201,205.50x = 91,103,159,889
  5. Step 5: Solve for x
    x = 91,103,159,889/201,205.50
  6. Step 6: Final answer
    x = 452,786.63

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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.