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Finding the Third Proportional to 153,194.63 and 233,033.63

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Solution

The third proportional to 153,194.63 and 233,033.63 is: 354,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,194.63 : 233,033.63 = 233,033.63 : x
  2. Step 2: Convert to fraction form
    153,194.63/233,033.63 = 233,033.63/x
  3. Step 3: Cross multiply
    153,194.63x = 233,033.63 × 233,033.63
  4. Step 4: Simplify right side
    153,194.63x = 54,304,670,380.64
  5. Step 5: Solve for x
    x = 54,304,670,380.64/153,194.63
  6. Step 6: Final answer
    x = 354,481.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.