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Finding the Third Proportional to 172,974 and 375,474

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Solution

The third proportional to 172,974 and 375,474 is: 815,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,974 : 375,474 = 375,474 : x
  2. Step 2: Convert to fraction form
    172,974/375,474 = 375,474/x
  3. Step 3: Cross multiply
    172,974x = 375,474 × 375,474
  4. Step 4: Simplify right side
    172,974x = 140,980,724,676
  5. Step 5: Solve for x
    x = 140,980,724,676/172,974
  6. Step 6: Final answer
    x = 815,039.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.