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Finding the Third Proportional to 177,674 and 379,768

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Solution

The third proportional to 177,674 and 379,768 is: 811,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,674 : 379,768 = 379,768 : x
  2. Step 2: Convert to fraction form
    177,674/379,768 = 379,768/x
  3. Step 3: Cross multiply
    177,674x = 379,768 × 379,768
  4. Step 4: Simplify right side
    177,674x = 144,223,733,824
  5. Step 5: Solve for x
    x = 144,223,733,824/177,674
  6. Step 6: Final answer
    x = 811,732.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.