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Finding the Third Proportional to 178,636 and 383,174

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Solution

The third proportional to 178,636 and 383,174 is: 821,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,636 : 383,174 = 383,174 : x
  2. Step 2: Convert to fraction form
    178,636/383,174 = 383,174/x
  3. Step 3: Cross multiply
    178,636x = 383,174 × 383,174
  4. Step 4: Simplify right side
    178,636x = 146,822,314,276
  5. Step 5: Solve for x
    x = 146,822,314,276/178,636
  6. Step 6: Final answer
    x = 821,907.76

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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.