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Finding the Third Proportional to 69,467.63 and 162,430.31

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Solution

The third proportional to 69,467.63 and 162,430.31 is: 379,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,467.63 : 162,430.31 = 162,430.31 : x
  2. Step 2: Convert to fraction form
    69,467.63/162,430.31 = 162,430.31/x
  3. Step 3: Cross multiply
    69,467.63x = 162,430.31 × 162,430.31
  4. Step 4: Simplify right side
    69,467.63x = 26,383,606,418.85
  5. Step 5: Solve for x
    x = 26,383,606,418.85/69,467.63
  6. Step 6: Final answer
    x = 379,797.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.