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Finding the Third Proportional to 154,704.94 and 319,046.34

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Solution

The third proportional to 154,704.94 and 319,046.34 is: 657,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,704.94 : 319,046.34 = 319,046.34 : x
  2. Step 2: Convert to fraction form
    154,704.94/319,046.34 = 319,046.34/x
  3. Step 3: Cross multiply
    154,704.94x = 319,046.34 × 319,046.34
  4. Step 4: Simplify right side
    154,704.94x = 101,790,569,460.24
  5. Step 5: Solve for x
    x = 101,790,569,460.24/154,704.94
  6. Step 6: Final answer
    x = 657,965.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.