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Finding the Third Proportional to 106,608 and 229,348

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Solution

The third proportional to 106,608 and 229,348 is: 493,401.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,608 : 229,348 = 229,348 : x
  2. Step 2: Convert to fraction form
    106,608/229,348 = 229,348/x
  3. Step 3: Cross multiply
    106,608x = 229,348 × 229,348
  4. Step 4: Simplify right side
    106,608x = 52,600,505,104
  5. Step 5: Solve for x
    x = 52,600,505,104/106,608
  6. Step 6: Final answer
    x = 493,401.11

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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.