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Finding the Third Proportional to 201,546 and 301,266

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Solution

The third proportional to 201,546 and 301,266 is: 450,325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,546 : 301,266 = 301,266 : x
  2. Step 2: Convert to fraction form
    201,546/301,266 = 301,266/x
  3. Step 3: Cross multiply
    201,546x = 301,266 × 301,266
  4. Step 4: Simplify right side
    201,546x = 90,761,202,756
  5. Step 5: Solve for x
    x = 90,761,202,756/201,546
  6. Step 6: Final answer
    x = 450,325.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.