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Finding the Third Proportional to 193,884 and 418,320

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Solution

The third proportional to 193,884 and 418,320 is: 902,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,884 : 418,320 = 418,320 : x
  2. Step 2: Convert to fraction form
    193,884/418,320 = 418,320/x
  3. Step 3: Cross multiply
    193,884x = 418,320 × 418,320
  4. Step 4: Simplify right side
    193,884x = 174,991,622,400
  5. Step 5: Solve for x
    x = 174,991,622,400/193,884
  6. Step 6: Final answer
    x = 902,558.35

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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.