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Finding the Third Proportional to 163,944 and 338,110

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Solution

The third proportional to 163,944 and 338,110 is: 697,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,944 : 338,110 = 338,110 : x
  2. Step 2: Convert to fraction form
    163,944/338,110 = 338,110/x
  3. Step 3: Cross multiply
    163,944x = 338,110 × 338,110
  4. Step 4: Simplify right side
    163,944x = 114,318,372,100
  5. Step 5: Solve for x
    x = 114,318,372,100/163,944
  6. Step 6: Final answer
    x = 697,301.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.