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Finding the Third Proportional to 193,660 and 417,904

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Solution

The third proportional to 193,660 and 417,904 is: 901,806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,660 : 417,904 = 417,904 : x
  2. Step 2: Convert to fraction form
    193,660/417,904 = 417,904/x
  3. Step 3: Cross multiply
    193,660x = 417,904 × 417,904
  4. Step 4: Simplify right side
    193,660x = 174,643,753,216
  5. Step 5: Solve for x
    x = 174,643,753,216/193,660
  6. Step 6: Final answer
    x = 901,806.02

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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.