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Finding the Third Proportional to 238,872.50 and 361,396.75

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Solution

The third proportional to 238,872.50 and 361,396.75 is: 546,767.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,872.50 : 361,396.75 = 361,396.75 : x
  2. Step 2: Convert to fraction form
    238,872.50/361,396.75 = 361,396.75/x
  3. Step 3: Cross multiply
    238,872.50x = 361,396.75 × 361,396.75
  4. Step 4: Simplify right side
    238,872.50x = 130,607,610,910.56
  5. Step 5: Solve for x
    x = 130,607,610,910.56/238,872.50
  6. Step 6: Final answer
    x = 546,767.04

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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.