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Finding the Third Proportional to 154,322 and 231,846

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Solution

The third proportional to 154,322 and 231,846 is: 348,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,322 : 231,846 = 231,846 : x
  2. Step 2: Convert to fraction form
    154,322/231,846 = 231,846/x
  3. Step 3: Cross multiply
    154,322x = 231,846 × 231,846
  4. Step 4: Simplify right side
    154,322x = 53,752,567,716
  5. Step 5: Solve for x
    x = 53,752,567,716/154,322
  6. Step 6: Final answer
    x = 348,314.35

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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.