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Finding the Third Proportional to 144,820.41 and 221,540.06

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Solution

The third proportional to 144,820.41 and 221,540.06 is: 338,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,820.41 : 221,540.06 = 221,540.06 : x
  2. Step 2: Convert to fraction form
    144,820.41/221,540.06 = 221,540.06/x
  3. Step 3: Cross multiply
    144,820.41x = 221,540.06 × 221,540.06
  4. Step 4: Simplify right side
    144,820.41x = 49,079,999,292.50
  5. Step 5: Solve for x
    x = 49,079,999,292.50/144,820.41
  6. Step 6: Final answer
    x = 338,902.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.