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Finding the Third Proportional to 191,202 and 303,676

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Solution

The third proportional to 191,202 and 303,676 is: 482,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,202 : 303,676 = 303,676 : x
  2. Step 2: Convert to fraction form
    191,202/303,676 = 303,676/x
  3. Step 3: Cross multiply
    191,202x = 303,676 × 303,676
  4. Step 4: Simplify right side
    191,202x = 92,219,112,976
  5. Step 5: Solve for x
    x = 92,219,112,976/191,202
  6. Step 6: Final answer
    x = 482,312.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.