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Finding the Third Proportional to 171,848 and 377,317

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Solution

The third proportional to 171,848 and 377,317 is: 828,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,848 : 377,317 = 377,317 : x
  2. Step 2: Convert to fraction form
    171,848/377,317 = 377,317/x
  3. Step 3: Cross multiply
    171,848x = 377,317 × 377,317
  4. Step 4: Simplify right side
    171,848x = 142,368,118,489
  5. Step 5: Solve for x
    x = 142,368,118,489/171,848
  6. Step 6: Final answer
    x = 828,453.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.