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Finding the Third Proportional to 267,342.75 and 376,146

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Solution

The third proportional to 267,342.75 and 376,146 is: 529,230.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,342.75 : 376,146 = 376,146 : x
  2. Step 2: Convert to fraction form
    267,342.75/376,146 = 376,146/x
  3. Step 3: Cross multiply
    267,342.75x = 376,146 × 376,146
  4. Step 4: Simplify right side
    267,342.75x = 141,485,813,316
  5. Step 5: Solve for x
    x = 141,485,813,316/267,342.75
  6. Step 6: Final answer
    x = 529,230.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.