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Finding the Third Proportional to 177,832 and 380,664

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Solution

The third proportional to 177,832 and 380,664 is: 814,842.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,832 : 380,664 = 380,664 : x
  2. Step 2: Convert to fraction form
    177,832/380,664 = 380,664/x
  3. Step 3: Cross multiply
    177,832x = 380,664 × 380,664
  4. Step 4: Simplify right side
    177,832x = 144,905,080,896
  5. Step 5: Solve for x
    x = 144,905,080,896/177,832
  6. Step 6: Final answer
    x = 814,842.55

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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.