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Finding the Third Proportional to 191,203 and 303,677

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Solution

The third proportional to 191,203 and 303,677 is: 482,313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,203 : 303,677 = 303,677 : x
  2. Step 2: Convert to fraction form
    191,203/303,677 = 303,677/x
  3. Step 3: Cross multiply
    191,203x = 303,677 × 303,677
  4. Step 4: Simplify right side
    191,203x = 92,219,720,329
  5. Step 5: Solve for x
    x = 92,219,720,329/191,203
  6. Step 6: Final answer
    x = 482,313.15

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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.