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Finding the Third Proportional to 109,906 and 235,360

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Solution

The third proportional to 109,906 and 235,360 is: 504,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,906 : 235,360 = 235,360 : x
  2. Step 2: Convert to fraction form
    109,906/235,360 = 235,360/x
  3. Step 3: Cross multiply
    109,906x = 235,360 × 235,360
  4. Step 4: Simplify right side
    109,906x = 55,394,329,600
  5. Step 5: Solve for x
    x = 55,394,329,600/109,906
  6. Step 6: Final answer
    x = 504,015.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.