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Finding the Third Proportional to 201,775 and 436,948

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Solution

The third proportional to 201,775 and 436,948 is: 946,220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,775 : 436,948 = 436,948 : x
  2. Step 2: Convert to fraction form
    201,775/436,948 = 436,948/x
  3. Step 3: Cross multiply
    201,775x = 436,948 × 436,948
  4. Step 4: Simplify right side
    201,775x = 190,923,554,704
  5. Step 5: Solve for x
    x = 190,923,554,704/201,775
  6. Step 6: Final answer
    x = 946,220.07

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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.