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Finding the Third Proportional to 204,074.44 and 306,316.69

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Solution

The third proportional to 204,074.44 and 306,316.69 is: 459,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,074.44 : 306,316.69 = 306,316.69 : x
  2. Step 2: Convert to fraction form
    204,074.44/306,316.69 = 306,316.69/x
  3. Step 3: Cross multiply
    204,074.44x = 306,316.69 × 306,316.69
  4. Step 4: Simplify right side
    204,074.44x = 93,829,913,040.97
  5. Step 5: Solve for x
    x = 93,829,913,040.97/204,074.44
  6. Step 6: Final answer
    x = 459,782.78

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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.