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Finding the Third Proportional to 106,545 and 229,694

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Solution

The third proportional to 106,545 and 229,694 is: 495,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,545 : 229,694 = 229,694 : x
  2. Step 2: Convert to fraction form
    106,545/229,694 = 229,694/x
  3. Step 3: Cross multiply
    106,545x = 229,694 × 229,694
  4. Step 4: Simplify right side
    106,545x = 52,759,333,636
  5. Step 5: Solve for x
    x = 52,759,333,636/106,545
  6. Step 6: Final answer
    x = 495,183.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.