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Finding the Third Proportional to 202,940.25 and 440,462.25

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Solution

The third proportional to 202,940.25 and 440,462.25 is: 955,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,940.25 : 440,462.25 = 440,462.25 : x
  2. Step 2: Convert to fraction form
    202,940.25/440,462.25 = 440,462.25/x
  3. Step 3: Cross multiply
    202,940.25x = 440,462.25 × 440,462.25
  4. Step 4: Simplify right side
    202,940.25x = 194,006,993,675.06
  5. Step 5: Solve for x
    x = 194,006,993,675.06/202,940.25
  6. Step 6: Final answer
    x = 955,980.85

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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.