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Finding the Third Proportional to 156,949 and 343,241

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Solution

The third proportional to 156,949 and 343,241 is: 750,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,949 : 343,241 = 343,241 : x
  2. Step 2: Convert to fraction form
    156,949/343,241 = 343,241/x
  3. Step 3: Cross multiply
    156,949x = 343,241 × 343,241
  4. Step 4: Simplify right side
    156,949x = 117,814,384,081
  5. Step 5: Solve for x
    x = 117,814,384,081/156,949
  6. Step 6: Final answer
    x = 750,653.93

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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.