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Finding the Third Proportional to 141,474.09 and 304,015.78

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Solution

The third proportional to 141,474.09 and 304,015.78 is: 653,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,474.09 : 304,015.78 = 304,015.78 : x
  2. Step 2: Convert to fraction form
    141,474.09/304,015.78 = 304,015.78/x
  3. Step 3: Cross multiply
    141,474.09x = 304,015.78 × 304,015.78
  4. Step 4: Simplify right side
    141,474.09x = 92,425,595,249.05
  5. Step 5: Solve for x
    x = 92,425,595,249.05/141,474.09
  6. Step 6: Final answer
    x = 653,304.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.