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Finding the Third Proportional to 241,346.88 and 327,780.42

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Solution

The third proportional to 241,346.88 and 327,780.42 is: 445,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,346.88 : 327,780.42 = 327,780.42 : x
  2. Step 2: Convert to fraction form
    241,346.88/327,780.42 = 327,780.42/x
  3. Step 3: Cross multiply
    241,346.88x = 327,780.42 × 327,780.42
  4. Step 4: Simplify right side
    241,346.88x = 107,440,004,964.55
  5. Step 5: Solve for x
    x = 107,440,004,964.55/241,346.88
  6. Step 6: Final answer
    x = 445,168.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.