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Finding the Third Proportional to 123,151.50 and 265,299.75

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Solution

The third proportional to 123,151.50 and 265,299.75 is: 571,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,151.50 : 265,299.75 = 265,299.75 : x
  2. Step 2: Convert to fraction form
    123,151.50/265,299.75 = 265,299.75/x
  3. Step 3: Cross multiply
    123,151.50x = 265,299.75 × 265,299.75
  4. Step 4: Simplify right side
    123,151.50x = 70,383,957,350.06
  5. Step 5: Solve for x
    x = 70,383,957,350.06/123,151.50
  6. Step 6: Final answer
    x = 571,523.35

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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.