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Finding the Third Proportional to 176,976 and 382,126

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Solution

The third proportional to 176,976 and 382,126 is: 825,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,976 : 382,126 = 382,126 : x
  2. Step 2: Convert to fraction form
    176,976/382,126 = 382,126/x
  3. Step 3: Cross multiply
    176,976x = 382,126 × 382,126
  4. Step 4: Simplify right side
    176,976x = 146,020,279,876
  5. Step 5: Solve for x
    x = 146,020,279,876/176,976
  6. Step 6: Final answer
    x = 825,085.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.