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Finding the Third Proportional to 193,796 and 417,272

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Solution

The third proportional to 193,796 and 417,272 is: 898,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,796 : 417,272 = 417,272 : x
  2. Step 2: Convert to fraction form
    193,796/417,272 = 417,272/x
  3. Step 3: Cross multiply
    193,796x = 417,272 × 417,272
  4. Step 4: Simplify right side
    193,796x = 174,115,921,984
  5. Step 5: Solve for x
    x = 174,115,921,984/193,796
  6. Step 6: Final answer
    x = 898,449.51

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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.