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Finding the Third Proportional to 144,886.13 and 305,504.25

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Solution

The third proportional to 144,886.13 and 305,504.25 is: 644,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,886.13 : 305,504.25 = 305,504.25 : x
  2. Step 2: Convert to fraction form
    144,886.13/305,504.25 = 305,504.25/x
  3. Step 3: Cross multiply
    144,886.13x = 305,504.25 × 305,504.25
  4. Step 4: Simplify right side
    144,886.13x = 93,332,846,768.06
  5. Step 5: Solve for x
    x = 93,332,846,768.06/144,886.13
  6. Step 6: Final answer
    x = 644,180.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.