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Finding the Third Proportional to 123,023.25 and 200,883.75

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Solution

The third proportional to 123,023.25 and 200,883.75 is: 328,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,023.25 : 200,883.75 = 200,883.75 : x
  2. Step 2: Convert to fraction form
    123,023.25/200,883.75 = 200,883.75/x
  3. Step 3: Cross multiply
    123,023.25x = 200,883.75 × 200,883.75
  4. Step 4: Simplify right side
    123,023.25x = 40,354,281,014.06
  5. Step 5: Solve for x
    x = 40,354,281,014.06/123,023.25
  6. Step 6: Final answer
    x = 328,021.58

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.