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Finding the Third Proportional to 191,206 and 303,683

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Solution

The third proportional to 191,206 and 303,683 is: 482,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,206 : 303,683 = 303,683 : x
  2. Step 2: Convert to fraction form
    191,206/303,683 = 303,683/x
  3. Step 3: Cross multiply
    191,206x = 303,683 × 303,683
  4. Step 4: Simplify right side
    191,206x = 92,223,364,489
  5. Step 5: Solve for x
    x = 92,223,364,489/191,206
  6. Step 6: Final answer
    x = 482,324.64

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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.