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Finding the Third Proportional to 154,992 and 238,320

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Solution

The third proportional to 154,992 and 238,320 is: 366,447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,992 : 238,320 = 238,320 : x
  2. Step 2: Convert to fraction form
    154,992/238,320 = 238,320/x
  3. Step 3: Cross multiply
    154,992x = 238,320 × 238,320
  4. Step 4: Simplify right side
    154,992x = 56,796,422,400
  5. Step 5: Solve for x
    x = 56,796,422,400/154,992
  6. Step 6: Final answer
    x = 366,447.45

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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.