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Finding the Third Proportional to 171,930 and 377,896

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Solution

The third proportional to 171,930 and 377,896 is: 830,601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,930 : 377,896 = 377,896 : x
  2. Step 2: Convert to fraction form
    171,930/377,896 = 377,896/x
  3. Step 3: Cross multiply
    171,930x = 377,896 × 377,896
  4. Step 4: Simplify right side
    171,930x = 142,805,386,816
  5. Step 5: Solve for x
    x = 142,805,386,816/171,930
  6. Step 6: Final answer
    x = 830,601.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.