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Finding the Third Proportional to 201,164.63 and 301,751.44

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Solution

The third proportional to 201,164.63 and 301,751.44 is: 452,633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,164.63 : 301,751.44 = 301,751.44 : x
  2. Step 2: Convert to fraction form
    201,164.63/301,751.44 = 301,751.44/x
  3. Step 3: Cross multiply
    201,164.63x = 301,751.44 × 301,751.44
  4. Step 4: Simplify right side
    201,164.63x = 91,053,930,033.32
  5. Step 5: Solve for x
    x = 91,053,930,033.32/201,164.63
  6. Step 6: Final answer
    x = 452,633.91

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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.