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Finding the Third Proportional to 147,376 and 300,171

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Solution

The third proportional to 147,376 and 300,171 is: 611,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,376 : 300,171 = 300,171 : x
  2. Step 2: Convert to fraction form
    147,376/300,171 = 300,171/x
  3. Step 3: Cross multiply
    147,376x = 300,171 × 300,171
  4. Step 4: Simplify right side
    147,376x = 90,102,629,241
  5. Step 5: Solve for x
    x = 90,102,629,241/147,376
  6. Step 6: Final answer
    x = 611,379.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.