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Finding the Third Proportional to 178,814 and 372,322

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Solution

The third proportional to 178,814 and 372,322 is: 775,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,814 : 372,322 = 372,322 : x
  2. Step 2: Convert to fraction form
    178,814/372,322 = 372,322/x
  3. Step 3: Cross multiply
    178,814x = 372,322 × 372,322
  4. Step 4: Simplify right side
    178,814x = 138,623,671,684
  5. Step 5: Solve for x
    x = 138,623,671,684/178,814
  6. Step 6: Final answer
    x = 775,239.48

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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.