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Finding the Third Proportional to 133,062.75 and 288,279

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Solution

The third proportional to 133,062.75 and 288,279 is: 624,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,062.75 : 288,279 = 288,279 : x
  2. Step 2: Convert to fraction form
    133,062.75/288,279 = 288,279/x
  3. Step 3: Cross multiply
    133,062.75x = 288,279 × 288,279
  4. Step 4: Simplify right side
    133,062.75x = 83,104,781,841
  5. Step 5: Solve for x
    x = 83,104,781,841/133,062.75
  6. Step 6: Final answer
    x = 624,553.32

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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.