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Finding the Third Proportional to 201,205 and 301,832

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Solution

The third proportional to 201,205 and 301,832 is: 452,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,205 : 301,832 = 301,832 : x
  2. Step 2: Convert to fraction form
    201,205/301,832 = 301,832/x
  3. Step 3: Cross multiply
    201,205x = 301,832 × 301,832
  4. Step 4: Simplify right side
    201,205x = 91,102,556,224
  5. Step 5: Solve for x
    x = 91,102,556,224/201,205
  6. Step 6: Final answer
    x = 452,784.75

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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.