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Finding the Third Proportional to 132,037 and 288,268

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Solution

The third proportional to 132,037 and 288,268 is: 629,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,037 : 288,268 = 288,268 : x
  2. Step 2: Convert to fraction form
    132,037/288,268 = 288,268/x
  3. Step 3: Cross multiply
    132,037x = 288,268 × 288,268
  4. Step 4: Simplify right side
    132,037x = 83,098,439,824
  5. Step 5: Solve for x
    x = 83,098,439,824/132,037
  6. Step 6: Final answer
    x = 629,357.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.