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Finding the Third Proportional to 106,596 and 229,326

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Solution

The third proportional to 106,596 and 229,326 is: 493,361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,596 : 229,326 = 229,326 : x
  2. Step 2: Convert to fraction form
    106,596/229,326 = 229,326/x
  3. Step 3: Cross multiply
    106,596x = 229,326 × 229,326
  4. Step 4: Simplify right side
    106,596x = 52,590,414,276
  5. Step 5: Solve for x
    x = 52,590,414,276/106,596
  6. Step 6: Final answer
    x = 493,361.99

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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.