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Finding the Third Proportional to 201,912 and 290,772

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Solution

The third proportional to 201,912 and 290,772 is: 418,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,912 : 290,772 = 290,772 : x
  2. Step 2: Convert to fraction form
    201,912/290,772 = 290,772/x
  3. Step 3: Cross multiply
    201,912x = 290,772 × 290,772
  4. Step 4: Simplify right side
    201,912x = 84,548,355,984
  5. Step 5: Solve for x
    x = 84,548,355,984/201,912
  6. Step 6: Final answer
    x = 418,738.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.