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Finding the Third Proportional to 144,433.69 and 216,676.69

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Solution

The third proportional to 144,433.69 and 216,676.69 is: 325,054.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,433.69 : 216,676.69 = 216,676.69 : x
  2. Step 2: Convert to fraction form
    144,433.69/216,676.69 = 216,676.69/x
  3. Step 3: Cross multiply
    144,433.69x = 216,676.69 × 216,676.69
  4. Step 4: Simplify right side
    144,433.69x = 46,948,786,905.97
  5. Step 5: Solve for x
    x = 46,948,786,905.97/144,433.69
  6. Step 6: Final answer
    x = 325,054.27

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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.