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Finding the Third Proportional to 154,539 and 233,976

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Solution

The third proportional to 154,539 and 233,976 is: 354,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,539 : 233,976 = 233,976 : x
  2. Step 2: Convert to fraction form
    154,539/233,976 = 233,976/x
  3. Step 3: Cross multiply
    154,539x = 233,976 × 233,976
  4. Step 4: Simplify right side
    154,539x = 54,744,768,576
  5. Step 5: Solve for x
    x = 54,744,768,576/154,539
  6. Step 6: Final answer
    x = 354,245.65

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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.