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Finding the Third Proportional to 174,408 and 376,692

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Solution

The third proportional to 174,408 and 376,692 is: 813,591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,408 : 376,692 = 376,692 : x
  2. Step 2: Convert to fraction form
    174,408/376,692 = 376,692/x
  3. Step 3: Cross multiply
    174,408x = 376,692 × 376,692
  4. Step 4: Simplify right side
    174,408x = 141,896,862,864
  5. Step 5: Solve for x
    x = 141,896,862,864/174,408
  6. Step 6: Final answer
    x = 813,591.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.