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Finding the Third Proportional to 123,245 and 265,171

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Solution

The third proportional to 123,245 and 265,171 is: 570,535.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,245 : 265,171 = 265,171 : x
  2. Step 2: Convert to fraction form
    123,245/265,171 = 265,171/x
  3. Step 3: Cross multiply
    123,245x = 265,171 × 265,171
  4. Step 4: Simplify right side
    123,245x = 70,315,659,241
  5. Step 5: Solve for x
    x = 70,315,659,241/123,245
  6. Step 6: Final answer
    x = 570,535.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.