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Finding the Third Proportional to 132,632 and 271,392

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Solution

The third proportional to 132,632 and 271,392 is: 555,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,632 : 271,392 = 271,392 : x
  2. Step 2: Convert to fraction form
    132,632/271,392 = 271,392/x
  3. Step 3: Cross multiply
    132,632x = 271,392 × 271,392
  4. Step 4: Simplify right side
    132,632x = 73,653,617,664
  5. Step 5: Solve for x
    x = 73,653,617,664/132,632
  6. Step 6: Final answer
    x = 555,323.13

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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.