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Finding the Third Proportional to 132,216 and 271,473

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Solution

The third proportional to 132,216 and 271,473 is: 557,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,216 : 271,473 = 271,473 : x
  2. Step 2: Convert to fraction form
    132,216/271,473 = 271,473/x
  3. Step 3: Cross multiply
    132,216x = 271,473 × 271,473
  4. Step 4: Simplify right side
    132,216x = 73,697,589,729
  5. Step 5: Solve for x
    x = 73,697,589,729/132,216
  6. Step 6: Final answer
    x = 557,402.96

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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.