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Finding the Third Proportional to 202,890 and 437,012

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Solution

The third proportional to 202,890 and 437,012 is: 941,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,890 : 437,012 = 437,012 : x
  2. Step 2: Convert to fraction form
    202,890/437,012 = 437,012/x
  3. Step 3: Cross multiply
    202,890x = 437,012 × 437,012
  4. Step 4: Simplify right side
    202,890x = 190,979,488,144
  5. Step 5: Solve for x
    x = 190,979,488,144/202,890
  6. Step 6: Final answer
    x = 941,295.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.