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Finding the Third Proportional to 154,353 and 231,894

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Solution

The third proportional to 154,353 and 231,894 is: 348,388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,353 : 231,894 = 231,894 : x
  2. Step 2: Convert to fraction form
    154,353/231,894 = 231,894/x
  3. Step 3: Cross multiply
    154,353x = 231,894 × 231,894
  4. Step 4: Simplify right side
    154,353x = 53,774,827,236
  5. Step 5: Solve for x
    x = 53,774,827,236/154,353
  6. Step 6: Final answer
    x = 348,388.61

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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.