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Finding the Third Proportional to 152,554 and 328,067

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Solution

The third proportional to 152,554 and 328,067 is: 705,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,554 : 328,067 = 328,067 : x
  2. Step 2: Convert to fraction form
    152,554/328,067 = 328,067/x
  3. Step 3: Cross multiply
    152,554x = 328,067 × 328,067
  4. Step 4: Simplify right side
    152,554x = 107,627,956,489
  5. Step 5: Solve for x
    x = 107,627,956,489/152,554
  6. Step 6: Final answer
    x = 705,507.27

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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.