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Finding the Third Proportional to 144,910.69 and 318,723.19

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Solution

The third proportional to 144,910.69 and 318,723.19 is: 701,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,910.69 : 318,723.19 = 318,723.19 : x
  2. Step 2: Convert to fraction form
    144,910.69/318,723.19 = 318,723.19/x
  3. Step 3: Cross multiply
    144,910.69x = 318,723.19 × 318,723.19
  4. Step 4: Simplify right side
    144,910.69x = 101,584,470,250.16
  5. Step 5: Solve for x
    x = 101,584,470,250.16/144,910.69
  6. Step 6: Final answer
    x = 701,014.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.