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Finding the Third Proportional to 191,892.38 and 303,633.56

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Solution

The third proportional to 191,892.38 and 303,633.56 is: 480,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,892.38 : 303,633.56 = 303,633.56 : x
  2. Step 2: Convert to fraction form
    191,892.38/303,633.56 = 303,633.56/x
  3. Step 3: Cross multiply
    191,892.38x = 303,633.56 × 303,633.56
  4. Step 4: Simplify right side
    191,892.38x = 92,193,340,276.44
  5. Step 5: Solve for x
    x = 92,193,340,276.44/191,892.38
  6. Step 6: Final answer
    x = 480,442.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.