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Finding the Third Proportional to 114,764 and 251,680

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Solution

The third proportional to 114,764 and 251,680 is: 551,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,764 : 251,680 = 251,680 : x
  2. Step 2: Convert to fraction form
    114,764/251,680 = 251,680/x
  3. Step 3: Cross multiply
    114,764x = 251,680 × 251,680
  4. Step 4: Simplify right side
    114,764x = 63,342,822,400
  5. Step 5: Solve for x
    x = 63,342,822,400/114,764
  6. Step 6: Final answer
    x = 551,939.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.