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Finding the Third Proportional to 133,725.56 and 293,694.56

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Solution

The third proportional to 133,725.56 and 293,694.56 is: 645,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,725.56 : 293,694.56 = 293,694.56 : x
  2. Step 2: Convert to fraction form
    133,725.56/293,694.56 = 293,694.56/x
  3. Step 3: Cross multiply
    133,725.56x = 293,694.56 × 293,694.56
  4. Step 4: Simplify right side
    133,725.56x = 86,256,496,042.07
  5. Step 5: Solve for x
    x = 86,256,496,042.07/133,725.56
  6. Step 6: Final answer
    x = 645,026.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.