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Finding the Third Proportional to 238,926.75 and 361,451.25

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Solution

The third proportional to 238,926.75 and 361,451.25 is: 546,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,926.75 : 361,451.25 = 361,451.25 : x
  2. Step 2: Convert to fraction form
    238,926.75/361,451.25 = 361,451.25/x
  3. Step 3: Cross multiply
    238,926.75x = 361,451.25 × 361,451.25
  4. Step 4: Simplify right side
    238,926.75x = 130,647,006,126.56
  5. Step 5: Solve for x
    x = 130,647,006,126.56/238,926.75
  6. Step 6: Final answer
    x = 546,807.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.