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Finding the Third Proportional to 171,472 and 376,146

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Solution

The third proportional to 171,472 and 376,146 is: 825,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,472 : 376,146 = 376,146 : x
  2. Step 2: Convert to fraction form
    171,472/376,146 = 376,146/x
  3. Step 3: Cross multiply
    171,472x = 376,146 × 376,146
  4. Step 4: Simplify right side
    171,472x = 141,485,813,316
  5. Step 5: Solve for x
    x = 141,485,813,316/171,472
  6. Step 6: Final answer
    x = 825,124.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.