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Finding the Third Proportional to 102,485.25 and 225,146.25

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Solution

The third proportional to 102,485.25 and 225,146.25 is: 494,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,485.25 : 225,146.25 = 225,146.25 : x
  2. Step 2: Convert to fraction form
    102,485.25/225,146.25 = 225,146.25/x
  3. Step 3: Cross multiply
    102,485.25x = 225,146.25 × 225,146.25
  4. Step 4: Simplify right side
    102,485.25x = 50,690,833,889.06
  5. Step 5: Solve for x
    x = 50,690,833,889.06/102,485.25
  6. Step 6: Final answer
    x = 494,615.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.