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Finding the Third Proportional to 133,933 and 202,628

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Solution

The third proportional to 133,933 and 202,628 is: 306,557.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,933 : 202,628 = 202,628 : x
  2. Step 2: Convert to fraction form
    133,933/202,628 = 202,628/x
  3. Step 3: Cross multiply
    133,933x = 202,628 × 202,628
  4. Step 4: Simplify right side
    133,933x = 41,058,106,384
  5. Step 5: Solve for x
    x = 41,058,106,384/133,933
  6. Step 6: Final answer
    x = 306,557.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.