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Finding the Third Proportional to 202,404 and 301,962

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Solution

The third proportional to 202,404 and 301,962 is: 450,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,404 : 301,962 = 301,962 : x
  2. Step 2: Convert to fraction form
    202,404/301,962 = 301,962/x
  3. Step 3: Cross multiply
    202,404x = 301,962 × 301,962
  4. Step 4: Simplify right side
    202,404x = 91,181,049,444
  5. Step 5: Solve for x
    x = 91,181,049,444/202,404
  6. Step 6: Final answer
    x = 450,490.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.