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Finding the Third Proportional to 201,899 and 294,085

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Solution

The third proportional to 201,899 and 294,085 is: 428,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,899 : 294,085 = 294,085 : x
  2. Step 2: Convert to fraction form
    201,899/294,085 = 294,085/x
  3. Step 3: Cross multiply
    201,899x = 294,085 × 294,085
  4. Step 4: Simplify right side
    201,899x = 86,485,987,225
  5. Step 5: Solve for x
    x = 86,485,987,225/201,899
  6. Step 6: Final answer
    x = 428,362.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.