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Finding the Third Proportional to 144,645.75 and 216,826.88

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Solution

The third proportional to 144,645.75 and 216,826.88 is: 325,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,645.75 : 216,826.88 = 216,826.88 : x
  2. Step 2: Convert to fraction form
    144,645.75/216,826.88 = 216,826.88/x
  3. Step 3: Cross multiply
    144,645.75x = 216,826.88 × 216,826.88
  4. Step 4: Simplify right side
    144,645.75x = 47,013,893,722.27
  5. Step 5: Solve for x
    x = 47,013,893,722.27/144,645.75
  6. Step 6: Final answer
    x = 325,027.83

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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.