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Finding the Third Proportional to 193,772 and 417,226

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Solution

The third proportional to 193,772 and 417,226 is: 898,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,772 : 417,226 = 417,226 : x
  2. Step 2: Convert to fraction form
    193,772/417,226 = 417,226/x
  3. Step 3: Cross multiply
    193,772x = 417,226 × 417,226
  4. Step 4: Simplify right side
    193,772x = 174,077,535,076
  5. Step 5: Solve for x
    x = 174,077,535,076/193,772
  6. Step 6: Final answer
    x = 898,362.69

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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.