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Finding the Third Proportional to 174,938.63 and 267,936.75

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Solution

The third proportional to 174,938.63 and 267,936.75 is: 410,373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,938.63 : 267,936.75 = 267,936.75 : x
  2. Step 2: Convert to fraction form
    174,938.63/267,936.75 = 267,936.75/x
  3. Step 3: Cross multiply
    174,938.63x = 267,936.75 × 267,936.75
  4. Step 4: Simplify right side
    174,938.63x = 71,790,102,000.56
  5. Step 5: Solve for x
    x = 71,790,102,000.56/174,938.63
  6. Step 6: Final answer
    x = 410,373.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.