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Finding the Third Proportional to 160,616.36 and 223,279.03

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Solution

The third proportional to 160,616.36 and 223,279.03 is: 310,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,616.36 : 223,279.03 = 223,279.03 : x
  2. Step 2: Convert to fraction form
    160,616.36/223,279.03 = 223,279.03/x
  3. Step 3: Cross multiply
    160,616.36x = 223,279.03 × 223,279.03
  4. Step 4: Simplify right side
    160,616.36x = 49,853,525,795.94
  5. Step 5: Solve for x
    x = 49,853,525,795.94/160,616.36
  6. Step 6: Final answer
    x = 310,388.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.