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Finding the Third Proportional to 191,836 and 391,288

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Solution

The third proportional to 191,836 and 391,288 is: 798,110.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,836 : 391,288 = 391,288 : x
  2. Step 2: Convert to fraction form
    191,836/391,288 = 391,288/x
  3. Step 3: Cross multiply
    191,836x = 391,288 × 391,288
  4. Step 4: Simplify right side
    191,836x = 153,106,298,944
  5. Step 5: Solve for x
    x = 153,106,298,944/191,836
  6. Step 6: Final answer
    x = 798,110.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.