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Finding the Third Proportional to 117,004.50 and 252,675

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Solution

The third proportional to 117,004.50 and 252,675 is: 545,659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,004.50 : 252,675 = 252,675 : x
  2. Step 2: Convert to fraction form
    117,004.50/252,675 = 252,675/x
  3. Step 3: Cross multiply
    117,004.50x = 252,675 × 252,675
  4. Step 4: Simplify right side
    117,004.50x = 63,844,655,625
  5. Step 5: Solve for x
    x = 63,844,655,625/117,004.50
  6. Step 6: Final answer
    x = 545,659.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.