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Finding the Third Proportional to 193,432.50 and 295,872.75

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Solution

The third proportional to 193,432.50 and 295,872.75 is: 452,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,432.50 : 295,872.75 = 295,872.75 : x
  2. Step 2: Convert to fraction form
    193,432.50/295,872.75 = 295,872.75/x
  3. Step 3: Cross multiply
    193,432.50x = 295,872.75 × 295,872.75
  4. Step 4: Simplify right side
    193,432.50x = 87,540,684,192.56
  5. Step 5: Solve for x
    x = 87,540,684,192.56/193,432.50
  6. Step 6: Final answer
    x = 452,564.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.