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Finding the Third Proportional to 193,689 and 417,960

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Solution

The third proportional to 193,689 and 417,960 is: 901,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,689 : 417,960 = 417,960 : x
  2. Step 2: Convert to fraction form
    193,689/417,960 = 417,960/x
  3. Step 3: Cross multiply
    193,689x = 417,960 × 417,960
  4. Step 4: Simplify right side
    193,689x = 174,690,561,600
  5. Step 5: Solve for x
    x = 174,690,561,600/193,689
  6. Step 6: Final answer
    x = 901,912.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.