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Finding the Third Proportional to 188,020 and 413,252

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Solution

The third proportional to 188,020 and 413,252 is: 908,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,020 : 413,252 = 413,252 : x
  2. Step 2: Convert to fraction form
    188,020/413,252 = 413,252/x
  3. Step 3: Cross multiply
    188,020x = 413,252 × 413,252
  4. Step 4: Simplify right side
    188,020x = 170,777,215,504
  5. Step 5: Solve for x
    x = 170,777,215,504/188,020
  6. Step 6: Final answer
    x = 908,292.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.