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Finding the Third Proportional to 123,153.75 and 265,299.38

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Solution

The third proportional to 123,153.75 and 265,299.38 is: 571,511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,153.75 : 265,299.38 = 265,299.38 : x
  2. Step 2: Convert to fraction form
    123,153.75/265,299.38 = 265,299.38/x
  3. Step 3: Cross multiply
    123,153.75x = 265,299.38 × 265,299.38
  4. Step 4: Simplify right side
    123,153.75x = 70,383,758,375.39
  5. Step 5: Solve for x
    x = 70,383,758,375.39/123,153.75
  6. Step 6: Final answer
    x = 571,511.29

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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.