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Finding the Third Proportional to 177,673 and 379,765

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Solution

The third proportional to 177,673 and 379,765 is: 811,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,673 : 379,765 = 379,765 : x
  2. Step 2: Convert to fraction form
    177,673/379,765 = 379,765/x
  3. Step 3: Cross multiply
    177,673x = 379,765 × 379,765
  4. Step 4: Simplify right side
    177,673x = 144,221,455,225
  5. Step 5: Solve for x
    x = 144,221,455,225/177,673
  6. Step 6: Final answer
    x = 811,724.10

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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.