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Finding the Third Proportional to 114,930 and 239,688

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Solution

The third proportional to 114,930 and 239,688 is: 499,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,930 : 239,688 = 239,688 : x
  2. Step 2: Convert to fraction form
    114,930/239,688 = 239,688/x
  3. Step 3: Cross multiply
    114,930x = 239,688 × 239,688
  4. Step 4: Simplify right side
    114,930x = 57,450,337,344
  5. Step 5: Solve for x
    x = 57,450,337,344/114,930
  6. Step 6: Final answer
    x = 499,872.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.