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Finding the Third Proportional to 170,231.63 and 263,422.13

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Solution

The third proportional to 170,231.63 and 263,422.13 is: 407,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,231.63 : 263,422.13 = 263,422.13 : x
  2. Step 2: Convert to fraction form
    170,231.63/263,422.13 = 263,422.13/x
  3. Step 3: Cross multiply
    170,231.63x = 263,422.13 × 263,422.13
  4. Step 4: Simplify right side
    170,231.63x = 69,391,215,939.52
  5. Step 5: Solve for x
    x = 69,391,215,939.52/170,231.63
  6. Step 6: Final answer
    x = 407,628.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.