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Finding the Third Proportional to 238,142.25 and 328,053.38

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Solution

The third proportional to 238,142.25 and 328,053.38 is: 451,910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,142.25 : 328,053.38 = 328,053.38 : x
  2. Step 2: Convert to fraction form
    238,142.25/328,053.38 = 328,053.38/x
  3. Step 3: Cross multiply
    238,142.25x = 328,053.38 × 328,053.38
  4. Step 4: Simplify right side
    238,142.25x = 107,619,016,848.89
  5. Step 5: Solve for x
    x = 107,619,016,848.89/238,142.25
  6. Step 6: Final answer
    x = 451,910.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.