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Finding the Third Proportional to 191,140 and 303,606

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Solution

The third proportional to 191,140 and 303,606 is: 482,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,140 : 303,606 = 303,606 : x
  2. Step 2: Convert to fraction form
    191,140/303,606 = 303,606/x
  3. Step 3: Cross multiply
    191,140x = 303,606 × 303,606
  4. Step 4: Simplify right side
    191,140x = 92,176,603,236
  5. Step 5: Solve for x
    x = 92,176,603,236/191,140
  6. Step 6: Final answer
    x = 482,246.54

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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.