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Finding the Third Proportional to 201,760 and 436,918

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Solution

The third proportional to 201,760 and 436,918 is: 946,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,760 : 436,918 = 436,918 : x
  2. Step 2: Convert to fraction form
    201,760/436,918 = 436,918/x
  3. Step 3: Cross multiply
    201,760x = 436,918 × 436,918
  4. Step 4: Simplify right side
    201,760x = 190,897,338,724
  5. Step 5: Solve for x
    x = 190,897,338,724/201,760
  6. Step 6: Final answer
    x = 946,160.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.