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Finding the Third Proportional to 144,993.38 and 221,823.56

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Solution

The third proportional to 144,993.38 and 221,823.56 is: 339,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,993.38 : 221,823.56 = 221,823.56 : x
  2. Step 2: Convert to fraction form
    144,993.38/221,823.56 = 221,823.56/x
  3. Step 3: Cross multiply
    144,993.38x = 221,823.56 × 221,823.56
  4. Step 4: Simplify right side
    144,993.38x = 49,205,692,880.19
  5. Step 5: Solve for x
    x = 49,205,692,880.19/144,993.38
  6. Step 6: Final answer
    x = 339,365.11

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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.