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Finding the Third Proportional to 119,944.55 and 256,496.63

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Solution

The third proportional to 119,944.55 and 256,496.63 is: 548,507.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,944.55 : 256,496.63 = 256,496.63 : x
  2. Step 2: Convert to fraction form
    119,944.55/256,496.63 = 256,496.63/x
  3. Step 3: Cross multiply
    119,944.55x = 256,496.63 × 256,496.63
  4. Step 4: Simplify right side
    119,944.55x = 65,790,518,636.39
  5. Step 5: Solve for x
    x = 65,790,518,636.39/119,944.55
  6. Step 6: Final answer
    x = 548,507.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.