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Finding the Third Proportional to 193,786 and 417,254

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Solution

The third proportional to 193,786 and 417,254 is: 898,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,786 : 417,254 = 417,254 : x
  2. Step 2: Convert to fraction form
    193,786/417,254 = 417,254/x
  3. Step 3: Cross multiply
    193,786x = 417,254 × 417,254
  4. Step 4: Simplify right side
    193,786x = 174,100,900,516
  5. Step 5: Solve for x
    x = 174,100,900,516/193,786
  6. Step 6: Final answer
    x = 898,418.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.