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Finding the Third Proportional to 176,982 and 382,116

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Solution

The third proportional to 176,982 and 382,116 is: 825,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,982 : 382,116 = 382,116 : x
  2. Step 2: Convert to fraction form
    176,982/382,116 = 382,116/x
  3. Step 3: Cross multiply
    176,982x = 382,116 × 382,116
  4. Step 4: Simplify right side
    176,982x = 146,012,637,456
  5. Step 5: Solve for x
    x = 146,012,637,456/176,982
  6. Step 6: Final answer
    x = 825,014.05

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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.