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Finding the Third Proportional to 201,899 and 294,084

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Solution

The third proportional to 201,899 and 294,084 is: 428,359.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,899 : 294,084 = 294,084 : x
  2. Step 2: Convert to fraction form
    201,899/294,084 = 294,084/x
  3. Step 3: Cross multiply
    201,899x = 294,084 × 294,084
  4. Step 4: Simplify right side
    201,899x = 86,485,399,056
  5. Step 5: Solve for x
    x = 86,485,399,056/201,899
  6. Step 6: Final answer
    x = 428,359.72

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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.