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Finding the Third Proportional to 69,224.63 and 163,321.31

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Solution

The third proportional to 69,224.63 and 163,321.31 is: 385,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,224.63 : 163,321.31 = 163,321.31 : x
  2. Step 2: Convert to fraction form
    69,224.63/163,321.31 = 163,321.31/x
  3. Step 3: Cross multiply
    69,224.63x = 163,321.31 × 163,321.31
  4. Step 4: Simplify right side
    69,224.63x = 26,673,851,116.72
  5. Step 5: Solve for x
    x = 26,673,851,116.72/69,224.63
  6. Step 6: Final answer
    x = 385,323.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.