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Finding the Third Proportional to 174,869 and 277,816

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Solution

The third proportional to 174,869 and 277,816 is: 441,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,869 : 277,816 = 277,816 : x
  2. Step 2: Convert to fraction form
    174,869/277,816 = 277,816/x
  3. Step 3: Cross multiply
    174,869x = 277,816 × 277,816
  4. Step 4: Simplify right side
    174,869x = 77,181,729,856
  5. Step 5: Solve for x
    x = 77,181,729,856/174,869
  6. Step 6: Final answer
    x = 441,368.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.