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Finding the Third Proportional to 205,177.50 and 306,944.63

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Solution

The third proportional to 205,177.50 and 306,944.63 is: 459,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,177.50 : 306,944.63 = 306,944.63 : x
  2. Step 2: Convert to fraction form
    205,177.50/306,944.63 = 306,944.63/x
  3. Step 3: Cross multiply
    205,177.50x = 306,944.63 × 306,944.63
  4. Step 4: Simplify right side
    205,177.50x = 94,215,002,816.39
  5. Step 5: Solve for x
    x = 94,215,002,816.39/205,177.50
  6. Step 6: Final answer
    x = 459,187.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.