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Finding the Third Proportional to 193,784 and 417,256

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Solution

The third proportional to 193,784 and 417,256 is: 898,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,784 : 417,256 = 417,256 : x
  2. Step 2: Convert to fraction form
    193,784/417,256 = 417,256/x
  3. Step 3: Cross multiply
    193,784x = 417,256 × 417,256
  4. Step 4: Simplify right side
    193,784x = 174,102,569,536
  5. Step 5: Solve for x
    x = 174,102,569,536/193,784
  6. Step 6: Final answer
    x = 898,436.25

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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.