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Finding the Third Proportional to 178,906 and 365,580

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Solution

The third proportional to 178,906 and 365,580 is: 747,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,906 : 365,580 = 365,580 : x
  2. Step 2: Convert to fraction form
    178,906/365,580 = 365,580/x
  3. Step 3: Cross multiply
    178,906x = 365,580 × 365,580
  4. Step 4: Simplify right side
    178,906x = 133,648,736,400
  5. Step 5: Solve for x
    x = 133,648,736,400/178,906
  6. Step 6: Final answer
    x = 747,033.28

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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.