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Finding the Third Proportional to 201,172 and 301,761

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Solution

The third proportional to 201,172 and 301,761 is: 452,646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,172 : 301,761 = 301,761 : x
  2. Step 2: Convert to fraction form
    201,172/301,761 = 301,761/x
  3. Step 3: Cross multiply
    201,172x = 301,761 × 301,761
  4. Step 4: Simplify right side
    201,172x = 91,059,701,121
  5. Step 5: Solve for x
    x = 91,059,701,121/201,172
  6. Step 6: Final answer
    x = 452,646.00

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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.