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Finding the Third Proportional to 144,954 and 216,756

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Solution

The third proportional to 144,954 and 216,756 is: 324,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,954 : 216,756 = 216,756 : x
  2. Step 2: Convert to fraction form
    144,954/216,756 = 216,756/x
  3. Step 3: Cross multiply
    144,954x = 216,756 × 216,756
  4. Step 4: Simplify right side
    144,954x = 46,983,163,536
  5. Step 5: Solve for x
    x = 46,983,163,536/144,954
  6. Step 6: Final answer
    x = 324,124.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.