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Finding the Third Proportional to 174,180.38 and 381,560.63

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Solution

The third proportional to 174,180.38 and 381,560.63 is: 835,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,180.38 : 381,560.63 = 381,560.63 : x
  2. Step 2: Convert to fraction form
    174,180.38/381,560.63 = 381,560.63/x
  3. Step 3: Cross multiply
    174,180.38x = 381,560.63 × 381,560.63
  4. Step 4: Simplify right side
    174,180.38x = 145,588,510,550.39
  5. Step 5: Solve for x
    x = 145,588,510,550.39/174,180.38
  6. Step 6: Final answer
    x = 835,849.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.