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Finding the Third Proportional to 202,384 and 301,937

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Solution

The third proportional to 202,384 and 301,937 is: 450,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,384 : 301,937 = 301,937 : x
  2. Step 2: Convert to fraction form
    202,384/301,937 = 301,937/x
  3. Step 3: Cross multiply
    202,384x = 301,937 × 301,937
  4. Step 4: Simplify right side
    202,384x = 91,165,951,969
  5. Step 5: Solve for x
    x = 91,165,951,969/202,384
  6. Step 6: Final answer
    x = 450,460.27

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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.