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Finding the Third Proportional to 155,700.98 and 232,738.31

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Solution

The third proportional to 155,700.98 and 232,738.31 is: 347,891.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,700.98 : 232,738.31 = 232,738.31 : x
  2. Step 2: Convert to fraction form
    155,700.98/232,738.31 = 232,738.31/x
  3. Step 3: Cross multiply
    155,700.98x = 232,738.31 × 232,738.31
  4. Step 4: Simplify right side
    155,700.98x = 54,167,122,105.35
  5. Step 5: Solve for x
    x = 54,167,122,105.35/155,700.98
  6. Step 6: Final answer
    x = 347,891.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.