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Finding the Third Proportional to 160,311.38 and 343,022.63

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Solution

The third proportional to 160,311.38 and 343,022.63 is: 733,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,311.38 : 343,022.63 = 343,022.63 : x
  2. Step 2: Convert to fraction form
    160,311.38/343,022.63 = 343,022.63/x
  3. Step 3: Cross multiply
    160,311.38x = 343,022.63 × 343,022.63
  4. Step 4: Simplify right side
    160,311.38x = 117,664,521,261.89
  5. Step 5: Solve for x
    x = 117,664,521,261.89/160,311.38
  6. Step 6: Final answer
    x = 733,974.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.