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Finding the Third Proportional to 178,476.75 and 374,463

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Solution

The third proportional to 178,476.75 and 374,463 is: 785,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,476.75 : 374,463 = 374,463 : x
  2. Step 2: Convert to fraction form
    178,476.75/374,463 = 374,463/x
  3. Step 3: Cross multiply
    178,476.75x = 374,463 × 374,463
  4. Step 4: Simplify right side
    178,476.75x = 140,222,538,369
  5. Step 5: Solve for x
    x = 140,222,538,369/178,476.75
  6. Step 6: Final answer
    x = 785,662.77

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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.