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Finding the Third Proportional to 178,920 and 365,608

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Solution

The third proportional to 178,920 and 365,608 is: 747,089.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,920 : 365,608 = 365,608 : x
  2. Step 2: Convert to fraction form
    178,920/365,608 = 365,608/x
  3. Step 3: Cross multiply
    178,920x = 365,608 × 365,608
  4. Step 4: Simplify right side
    178,920x = 133,669,209,664
  5. Step 5: Solve for x
    x = 133,669,209,664/178,920
  6. Step 6: Final answer
    x = 747,089.26

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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.