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Finding the Third Proportional to 231,674 and 369,993

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Solution

The third proportional to 231,674 and 369,993 is: 590,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,674 : 369,993 = 369,993 : x
  2. Step 2: Convert to fraction form
    231,674/369,993 = 369,993/x
  3. Step 3: Cross multiply
    231,674x = 369,993 × 369,993
  4. Step 4: Simplify right side
    231,674x = 136,894,820,049
  5. Step 5: Solve for x
    x = 136,894,820,049/231,674
  6. Step 6: Final answer
    x = 590,894.19

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.