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Finding the Third Proportional to 154,353.94 and 237,682.69

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Solution

The third proportional to 154,353.94 and 237,682.69 is: 365,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,353.94 : 237,682.69 = 237,682.69 : x
  2. Step 2: Convert to fraction form
    154,353.94/237,682.69 = 237,682.69/x
  3. Step 3: Cross multiply
    154,353.94x = 237,682.69 × 237,682.69
  4. Step 4: Simplify right side
    154,353.94x = 56,493,059,937.22
  5. Step 5: Solve for x
    x = 56,493,059,937.22/154,353.94
  6. Step 6: Final answer
    x = 365,996.88

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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.