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Finding the Third Proportional to 178,110 and 374,663

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Solution

The third proportional to 178,110 and 374,663 is: 788,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,110 : 374,663 = 374,663 : x
  2. Step 2: Convert to fraction form
    178,110/374,663 = 374,663/x
  3. Step 3: Cross multiply
    178,110x = 374,663 × 374,663
  4. Step 4: Simplify right side
    178,110x = 140,372,363,569
  5. Step 5: Solve for x
    x = 140,372,363,569/178,110
  6. Step 6: Final answer
    x = 788,121.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.