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Finding the Third Proportional to 144,193.50 and 226,185.75

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Solution

The third proportional to 144,193.50 and 226,185.75 is: 354,800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,193.50 : 226,185.75 = 226,185.75 : x
  2. Step 2: Convert to fraction form
    144,193.50/226,185.75 = 226,185.75/x
  3. Step 3: Cross multiply
    144,193.50x = 226,185.75 × 226,185.75
  4. Step 4: Simplify right side
    144,193.50x = 51,159,993,503.06
  5. Step 5: Solve for x
    x = 51,159,993,503.06/144,193.50
  6. Step 6: Final answer
    x = 354,800.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.