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Finding the Third Proportional to 154,320 and 327,600

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Solution

The third proportional to 154,320 and 327,600 is: 695,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,320 : 327,600 = 327,600 : x
  2. Step 2: Convert to fraction form
    154,320/327,600 = 327,600/x
  3. Step 3: Cross multiply
    154,320x = 327,600 × 327,600
  4. Step 4: Simplify right side
    154,320x = 107,321,760,000
  5. Step 5: Solve for x
    x = 107,321,760,000/154,320
  6. Step 6: Final answer
    x = 695,449.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.