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Finding the Third Proportional to 174,519 and 376,896

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Solution

The third proportional to 174,519 and 376,896 is: 813,954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,519 : 376,896 = 376,896 : x
  2. Step 2: Convert to fraction form
    174,519/376,896 = 376,896/x
  3. Step 3: Cross multiply
    174,519x = 376,896 × 376,896
  4. Step 4: Simplify right side
    174,519x = 142,050,594,816
  5. Step 5: Solve for x
    x = 142,050,594,816/174,519
  6. Step 6: Final answer
    x = 813,954.90

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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.