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Finding the Third Proportional to 193,275 and 300,573

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Solution

The third proportional to 193,275 and 300,573 is: 467,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,275 : 300,573 = 300,573 : x
  2. Step 2: Convert to fraction form
    193,275/300,573 = 300,573/x
  3. Step 3: Cross multiply
    193,275x = 300,573 × 300,573
  4. Step 4: Simplify right side
    193,275x = 90,344,128,329
  5. Step 5: Solve for x
    x = 90,344,128,329/193,275
  6. Step 6: Final answer
    x = 467,438.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.