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Finding the Third Proportional to 144,514.97 and 304,609.78

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Solution

The third proportional to 144,514.97 and 304,609.78 is: 642,058.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,514.97 : 304,609.78 = 304,609.78 : x
  2. Step 2: Convert to fraction form
    144,514.97/304,609.78 = 304,609.78/x
  3. Step 3: Cross multiply
    144,514.97x = 304,609.78 × 304,609.78
  4. Step 4: Simplify right side
    144,514.97x = 92,787,118,833.17
  5. Step 5: Solve for x
    x = 92,787,118,833.17/144,514.97
  6. Step 6: Final answer
    x = 642,058.88

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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.