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Finding the Third Proportional to 191,161.69 and 294,976.69

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Solution

The third proportional to 191,161.69 and 294,976.69 is: 455,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,161.69 : 294,976.69 = 294,976.69 : x
  2. Step 2: Convert to fraction form
    191,161.69/294,976.69 = 294,976.69/x
  3. Step 3: Cross multiply
    191,161.69x = 294,976.69 × 294,976.69
  4. Step 4: Simplify right side
    191,161.69x = 87,011,246,168.47
  5. Step 5: Solve for x
    x = 87,011,246,168.47/191,161.69
  6. Step 6: Final answer
    x = 455,170.95

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.