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Finding the Third Proportional to 152,127 and 339,234

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Solution

The third proportional to 152,127 and 339,234 is: 756,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,127 : 339,234 = 339,234 : x
  2. Step 2: Convert to fraction form
    152,127/339,234 = 339,234/x
  3. Step 3: Cross multiply
    152,127x = 339,234 × 339,234
  4. Step 4: Simplify right side
    152,127x = 115,079,706,756
  5. Step 5: Solve for x
    x = 115,079,706,756/152,127
  6. Step 6: Final answer
    x = 756,471.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.