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Finding the Third Proportional to 231,041 and 343,173

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Solution

The third proportional to 231,041 and 343,173 is: 509,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,041 : 343,173 = 343,173 : x
  2. Step 2: Convert to fraction form
    231,041/343,173 = 343,173/x
  3. Step 3: Cross multiply
    231,041x = 343,173 × 343,173
  4. Step 4: Simplify right side
    231,041x = 117,767,707,929
  5. Step 5: Solve for x
    x = 117,767,707,929/231,041
  6. Step 6: Final answer
    x = 509,726.45

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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.