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Finding the Third Proportional to 178,823 and 372,334

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Solution

The third proportional to 178,823 and 372,334 is: 775,250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,823 : 372,334 = 372,334 : x
  2. Step 2: Convert to fraction form
    178,823/372,334 = 372,334/x
  3. Step 3: Cross multiply
    178,823x = 372,334 × 372,334
  4. Step 4: Simplify right side
    178,823x = 138,632,607,556
  5. Step 5: Solve for x
    x = 138,632,607,556/178,823
  6. Step 6: Final answer
    x = 775,250.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.