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Finding the Third Proportional to 116,769.57 and 255,349.34

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Solution

The third proportional to 116,769.57 and 255,349.34 is: 558,392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,769.57 : 255,349.34 = 255,349.34 : x
  2. Step 2: Convert to fraction form
    116,769.57/255,349.34 = 255,349.34/x
  3. Step 3: Cross multiply
    116,769.57x = 255,349.34 × 255,349.34
  4. Step 4: Simplify right side
    116,769.57x = 65,203,283,363.72
  5. Step 5: Solve for x
    x = 65,203,283,363.72/116,769.57
  6. Step 6: Final answer
    x = 558,392.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.