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Finding the Third Proportional to 154,704 and 339,276

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Solution

The third proportional to 154,704 and 339,276 is: 744,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,704 : 339,276 = 339,276 : x
  2. Step 2: Convert to fraction form
    154,704/339,276 = 339,276/x
  3. Step 3: Cross multiply
    154,704x = 339,276 × 339,276
  4. Step 4: Simplify right side
    154,704x = 115,108,204,176
  5. Step 5: Solve for x
    x = 115,108,204,176/154,704
  6. Step 6: Final answer
    x = 744,054.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.