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Finding the Third Proportional to 93,744 and 198,504

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Solution

The third proportional to 93,744 and 198,504 is: 420,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,744 : 198,504 = 198,504 : x
  2. Step 2: Convert to fraction form
    93,744/198,504 = 198,504/x
  3. Step 3: Cross multiply
    93,744x = 198,504 × 198,504
  4. Step 4: Simplify right side
    93,744x = 39,403,838,016
  5. Step 5: Solve for x
    x = 39,403,838,016/93,744
  6. Step 6: Final answer
    x = 420,334.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.