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Finding the Third Proportional to 201,042 and 273,042

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Solution

The third proportional to 201,042 and 273,042 is: 370,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,042 : 273,042 = 273,042 : x
  2. Step 2: Convert to fraction form
    201,042/273,042 = 273,042/x
  3. Step 3: Cross multiply
    201,042x = 273,042 × 273,042
  4. Step 4: Simplify right side
    201,042x = 74,551,933,764
  5. Step 5: Solve for x
    x = 74,551,933,764/201,042
  6. Step 6: Final answer
    x = 370,827.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.