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Finding the Third Proportional to 171,478 and 376,157

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Solution

The third proportional to 171,478 and 376,157 is: 825,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,478 : 376,157 = 376,157 : x
  2. Step 2: Convert to fraction form
    171,478/376,157 = 376,157/x
  3. Step 3: Cross multiply
    171,478x = 376,157 × 376,157
  4. Step 4: Simplify right side
    171,478x = 141,494,088,649
  5. Step 5: Solve for x
    x = 141,494,088,649/171,478
  6. Step 6: Final answer
    x = 825,144.27

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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.