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Finding the Third Proportional to 174,424 and 376,734

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Solution

The third proportional to 174,424 and 376,734 is: 813,698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,424 : 376,734 = 376,734 : x
  2. Step 2: Convert to fraction form
    174,424/376,734 = 376,734/x
  3. Step 3: Cross multiply
    174,424x = 376,734 × 376,734
  4. Step 4: Simplify right side
    174,424x = 141,928,506,756
  5. Step 5: Solve for x
    x = 141,928,506,756/174,424
  6. Step 6: Final answer
    x = 813,698.27

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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.