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Finding the Third Proportional to 178,231.50 and 379,575

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Solution

The third proportional to 178,231.50 and 379,575 is: 808,371.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,231.50 : 379,575 = 379,575 : x
  2. Step 2: Convert to fraction form
    178,231.50/379,575 = 379,575/x
  3. Step 3: Cross multiply
    178,231.50x = 379,575 × 379,575
  4. Step 4: Simplify right side
    178,231.50x = 144,077,180,625
  5. Step 5: Solve for x
    x = 144,077,180,625/178,231.50
  6. Step 6: Final answer
    x = 808,371.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.