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Finding the Third Proportional to 193,615.31 and 424,629.84

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Solution

The third proportional to 193,615.31 and 424,629.84 is: 931,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,615.31 : 424,629.84 = 424,629.84 : x
  2. Step 2: Convert to fraction form
    193,615.31/424,629.84 = 424,629.84/x
  3. Step 3: Cross multiply
    193,615.31x = 424,629.84 × 424,629.84
  4. Step 4: Simplify right side
    193,615.31x = 180,310,504,203.15
  5. Step 5: Solve for x
    x = 180,310,504,203.15/193,615.31
  6. Step 6: Final answer
    x = 931,282.25

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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.