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Finding the Third Proportional to 123,025.50 and 200,886.75

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Solution

The third proportional to 123,025.50 and 200,886.75 is: 328,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,025.50 : 200,886.75 = 200,886.75 : x
  2. Step 2: Convert to fraction form
    123,025.50/200,886.75 = 200,886.75/x
  3. Step 3: Cross multiply
    123,025.50x = 200,886.75 × 200,886.75
  4. Step 4: Simplify right side
    123,025.50x = 40,355,486,325.56
  5. Step 5: Solve for x
    x = 40,355,486,325.56/123,025.50
  6. Step 6: Final answer
    x = 328,025.38

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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.