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Finding the Third Proportional to 144,741 and 220,003.50

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Solution

The third proportional to 144,741 and 220,003.50 is: 334,401.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,741 : 220,003.50 = 220,003.50 : x
  2. Step 2: Convert to fraction form
    144,741/220,003.50 = 220,003.50/x
  3. Step 3: Cross multiply
    144,741x = 220,003.50 × 220,003.50
  4. Step 4: Simplify right side
    144,741x = 48,401,540,012.25
  5. Step 5: Solve for x
    x = 48,401,540,012.25/144,741
  6. Step 6: Final answer
    x = 334,401.03

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.