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Finding the Third Proportional to 193,867.88 and 284,043.38

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Solution

The third proportional to 193,867.88 and 284,043.38 is: 416,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,867.88 : 284,043.38 = 284,043.38 : x
  2. Step 2: Convert to fraction form
    193,867.88/284,043.38 = 284,043.38/x
  3. Step 3: Cross multiply
    193,867.88x = 284,043.38 × 284,043.38
  4. Step 4: Simplify right side
    193,867.88x = 80,680,638,881.39
  5. Step 5: Solve for x
    x = 80,680,638,881.39/193,867.88
  6. Step 6: Final answer
    x = 416,163.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.