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Finding the Third Proportional to 197,741.25 and 306,443.25

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Solution

The third proportional to 197,741.25 and 306,443.25 is: 474,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,741.25 : 306,443.25 = 306,443.25 : x
  2. Step 2: Convert to fraction form
    197,741.25/306,443.25 = 306,443.25/x
  3. Step 3: Cross multiply
    197,741.25x = 306,443.25 × 306,443.25
  4. Step 4: Simplify right side
    197,741.25x = 93,907,465,470.56
  5. Step 5: Solve for x
    x = 93,907,465,470.56/197,741.25
  6. Step 6: Final answer
    x = 474,900.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.