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Finding the Third Proportional to 132,300 and 271,620

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Solution

The third proportional to 132,300 and 271,620 is: 557,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,300 : 271,620 = 271,620 : x
  2. Step 2: Convert to fraction form
    132,300/271,620 = 271,620/x
  3. Step 3: Cross multiply
    132,300x = 271,620 × 271,620
  4. Step 4: Simplify right side
    132,300x = 73,777,424,400
  5. Step 5: Solve for x
    x = 73,777,424,400/132,300
  6. Step 6: Final answer
    x = 557,652.49

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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.