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Finding the Third Proportional to 132,900 and 229,302

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Solution

The third proportional to 132,900 and 229,302 is: 395,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,900 : 229,302 = 229,302 : x
  2. Step 2: Convert to fraction form
    132,900/229,302 = 229,302/x
  3. Step 3: Cross multiply
    132,900x = 229,302 × 229,302
  4. Step 4: Simplify right side
    132,900x = 52,579,407,204
  5. Step 5: Solve for x
    x = 52,579,407,204/132,900
  6. Step 6: Final answer
    x = 395,631.36

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.