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Finding the Third Proportional to 175,932 and 379,080

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Solution

The third proportional to 175,932 and 379,080 is: 816,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,932 : 379,080 = 379,080 : x
  2. Step 2: Convert to fraction form
    175,932/379,080 = 379,080/x
  3. Step 3: Cross multiply
    175,932x = 379,080 × 379,080
  4. Step 4: Simplify right side
    175,932x = 143,701,646,400
  5. Step 5: Solve for x
    x = 143,701,646,400/175,932
  6. Step 6: Final answer
    x = 816,802.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.