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Finding the Third Proportional to 132,240 and 271,518

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Solution

The third proportional to 132,240 and 271,518 is: 557,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,240 : 271,518 = 271,518 : x
  2. Step 2: Convert to fraction form
    132,240/271,518 = 271,518/x
  3. Step 3: Cross multiply
    132,240x = 271,518 × 271,518
  4. Step 4: Simplify right side
    132,240x = 73,722,024,324
  5. Step 5: Solve for x
    x = 73,722,024,324/132,240
  6. Step 6: Final answer
    x = 557,486.57

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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.