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Finding the Third Proportional to 171,476 and 376,154

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Solution

The third proportional to 171,476 and 376,154 is: 825,140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,476 : 376,154 = 376,154 : x
  2. Step 2: Convert to fraction form
    171,476/376,154 = 376,154/x
  3. Step 3: Cross multiply
    171,476x = 376,154 × 376,154
  4. Step 4: Simplify right side
    171,476x = 141,491,831,716
  5. Step 5: Solve for x
    x = 141,491,831,716/171,476
  6. Step 6: Final answer
    x = 825,140.73

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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.