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Finding the Third Proportional to 133,100.94 and 288,659.06

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Solution

The third proportional to 133,100.94 and 288,659.06 is: 626,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,100.94 : 288,659.06 = 288,659.06 : x
  2. Step 2: Convert to fraction form
    133,100.94/288,659.06 = 288,659.06/x
  3. Step 3: Cross multiply
    133,100.94x = 288,659.06 × 288,659.06
  4. Step 4: Simplify right side
    133,100.94x = 83,324,054,363.38
  5. Step 5: Solve for x
    x = 83,324,054,363.38/133,100.94
  6. Step 6: Final answer
    x = 626,021.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.