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Finding the Third Proportional to 144,514.13 and 304,608.09

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Solution

The third proportional to 144,514.13 and 304,608.09 is: 642,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,514.13 : 304,608.09 = 304,608.09 : x
  2. Step 2: Convert to fraction form
    144,514.13/304,608.09 = 304,608.09/x
  3. Step 3: Cross multiply
    144,514.13x = 304,608.09 × 304,608.09
  4. Step 4: Simplify right side
    144,514.13x = 92,786,090,778.01
  5. Step 5: Solve for x
    x = 92,786,090,778.01/144,514.13
  6. Step 6: Final answer
    x = 642,055.51

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