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Finding the Third Proportional to 132,414 and 271,805

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Solution

The third proportional to 132,414 and 271,805 is: 557,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,414 : 271,805 = 271,805 : x
  2. Step 2: Convert to fraction form
    132,414/271,805 = 271,805/x
  3. Step 3: Cross multiply
    132,414x = 271,805 × 271,805
  4. Step 4: Simplify right side
    132,414x = 73,877,958,025
  5. Step 5: Solve for x
    x = 73,877,958,025/132,414
  6. Step 6: Final answer
    x = 557,931.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.