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Finding the Third Proportional to 132,213 and 271,465

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Solution

The third proportional to 132,213 and 271,465 is: 557,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,213 : 271,465 = 271,465 : x
  2. Step 2: Convert to fraction form
    132,213/271,465 = 271,465/x
  3. Step 3: Cross multiply
    132,213x = 271,465 × 271,465
  4. Step 4: Simplify right side
    132,213x = 73,693,246,225
  5. Step 5: Solve for x
    x = 73,693,246,225/132,213
  6. Step 6: Final answer
    x = 557,382.76

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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.