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Finding the Third Proportional to 135,901.55 and 276,313.78

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Solution

The third proportional to 135,901.55 and 276,313.78 is: 561,798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,901.55 : 276,313.78 = 276,313.78 : x
  2. Step 2: Convert to fraction form
    135,901.55/276,313.78 = 276,313.78/x
  3. Step 3: Cross multiply
    135,901.55x = 276,313.78 × 276,313.78
  4. Step 4: Simplify right side
    135,901.55x = 76,349,305,708.67
  5. Step 5: Solve for x
    x = 76,349,305,708.67/135,901.55
  6. Step 6: Final answer
    x = 561,798.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.