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Finding the Third Proportional to 154,197.84 and 231,296.34

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Solution

The third proportional to 154,197.84 and 231,296.34 is: 346,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,197.84 : 231,296.34 = 231,296.34 : x
  2. Step 2: Convert to fraction form
    154,197.84/231,296.34 = 231,296.34/x
  3. Step 3: Cross multiply
    154,197.84x = 231,296.34 × 231,296.34
  4. Step 4: Simplify right side
    154,197.84x = 53,497,998,632.12
  5. Step 5: Solve for x
    x = 53,497,998,632.12/154,197.84
  6. Step 6: Final answer
    x = 346,943.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.