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Finding the Third Proportional to 188,148 and 391,632

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Solution

The third proportional to 188,148 and 391,632 is: 815,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,148 : 391,632 = 391,632 : x
  2. Step 2: Convert to fraction form
    188,148/391,632 = 391,632/x
  3. Step 3: Cross multiply
    188,148x = 391,632 × 391,632
  4. Step 4: Simplify right side
    188,148x = 153,375,623,424
  5. Step 5: Solve for x
    x = 153,375,623,424/188,148
  6. Step 6: Final answer
    x = 815,186.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.