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Finding the Third Proportional to 201,197.50 and 301,820.25

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Solution

The third proportional to 201,197.50 and 301,820.25 is: 452,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,197.50 : 301,820.25 = 301,820.25 : x
  2. Step 2: Convert to fraction form
    201,197.50/301,820.25 = 301,820.25/x
  3. Step 3: Cross multiply
    201,197.50x = 301,820.25 × 301,820.25
  4. Step 4: Simplify right side
    201,197.50x = 91,095,463,310.06
  5. Step 5: Solve for x
    x = 91,095,463,310.06/201,197.50
  6. Step 6: Final answer
    x = 452,766.38

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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.