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Finding the Third Proportional to 178,904 and 365,576

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Solution

The third proportional to 178,904 and 365,576 is: 747,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,904 : 365,576 = 365,576 : x
  2. Step 2: Convert to fraction form
    178,904/365,576 = 365,576/x
  3. Step 3: Cross multiply
    178,904x = 365,576 × 365,576
  4. Step 4: Simplify right side
    178,904x = 133,645,811,776
  5. Step 5: Solve for x
    x = 133,645,811,776/178,904
  6. Step 6: Final answer
    x = 747,025.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.