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Finding the Third Proportional to 191,747.25 and 300,135.38

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Solution

The third proportional to 191,747.25 and 300,135.38 is: 469,791.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,747.25 : 300,135.38 = 300,135.38 : x
  2. Step 2: Convert to fraction form
    191,747.25/300,135.38 = 300,135.38/x
  3. Step 3: Cross multiply
    191,747.25x = 300,135.38 × 300,135.38
  4. Step 4: Simplify right side
    191,747.25x = 90,081,243,326.39
  5. Step 5: Solve for x
    x = 90,081,243,326.39/191,747.25
  6. Step 6: Final answer
    x = 469,791.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.