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Finding the Third Proportional to 154,832 and 238,296

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Solution

The third proportional to 154,832 and 238,296 is: 366,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,832 : 238,296 = 238,296 : x
  2. Step 2: Convert to fraction form
    154,832/238,296 = 238,296/x
  3. Step 3: Cross multiply
    154,832x = 238,296 × 238,296
  4. Step 4: Simplify right side
    154,832x = 56,784,983,616
  5. Step 5: Solve for x
    x = 56,784,983,616/154,832
  6. Step 6: Final answer
    x = 366,752.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.