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Finding the Third Proportional to 132,203 and 188,458

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Solution

The third proportional to 132,203 and 188,458 is: 268,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,203 : 188,458 = 188,458 : x
  2. Step 2: Convert to fraction form
    132,203/188,458 = 188,458/x
  3. Step 3: Cross multiply
    132,203x = 188,458 × 188,458
  4. Step 4: Simplify right side
    132,203x = 35,516,417,764
  5. Step 5: Solve for x
    x = 35,516,417,764/132,203
  6. Step 6: Final answer
    x = 268,650.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.