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Finding the Third Proportional to 144,868.82 and 221,625.97

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Solution

The third proportional to 144,868.82 and 221,625.97 is: 339,052.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,868.82 : 221,625.97 = 221,625.97 : x
  2. Step 2: Convert to fraction form
    144,868.82/221,625.97 = 221,625.97/x
  3. Step 3: Cross multiply
    144,868.82x = 221,625.97 × 221,625.97
  4. Step 4: Simplify right side
    144,868.82x = 49,118,069,158.65
  5. Step 5: Solve for x
    x = 49,118,069,158.65/144,868.82
  6. Step 6: Final answer
    x = 339,052.05

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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.