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Finding the Third Proportional to 143,049 and 221,620.50

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Solution

The third proportional to 143,049 and 221,620.50 is: 343,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,049 : 221,620.50 = 221,620.50 : x
  2. Step 2: Convert to fraction form
    143,049/221,620.50 = 221,620.50/x
  3. Step 3: Cross multiply
    143,049x = 221,620.50 × 221,620.50
  4. Step 4: Simplify right side
    143,049x = 49,115,646,020.25
  5. Step 5: Solve for x
    x = 49,115,646,020.25/143,049
  6. Step 6: Final answer
    x = 343,348.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.