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Finding the Third Proportional to 176,980 and 382,112

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Solution

The third proportional to 176,980 and 382,112 is: 825,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,980 : 382,112 = 382,112 : x
  2. Step 2: Convert to fraction form
    176,980/382,112 = 382,112/x
  3. Step 3: Cross multiply
    176,980x = 382,112 × 382,112
  4. Step 4: Simplify right side
    176,980x = 146,009,580,544
  5. Step 5: Solve for x
    x = 146,009,580,544/176,980
  6. Step 6: Final answer
    x = 825,006.11

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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.