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Finding the Third Proportional to 174,408 and 372,606

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Solution

The third proportional to 174,408 and 372,606 is: 796,037.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,408 : 372,606 = 372,606 : x
  2. Step 2: Convert to fraction form
    174,408/372,606 = 372,606/x
  3. Step 3: Cross multiply
    174,408x = 372,606 × 372,606
  4. Step 4: Simplify right side
    174,408x = 138,835,231,236
  5. Step 5: Solve for x
    x = 138,835,231,236/174,408
  6. Step 6: Final answer
    x = 796,037.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.