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Finding the Third Proportional to 230,742 and 337,041

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Solution

The third proportional to 230,742 and 337,041 is: 492,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,742 : 337,041 = 337,041 : x
  2. Step 2: Convert to fraction form
    230,742/337,041 = 337,041/x
  3. Step 3: Cross multiply
    230,742x = 337,041 × 337,041
  4. Step 4: Simplify right side
    230,742x = 113,596,635,681
  5. Step 5: Solve for x
    x = 113,596,635,681/230,742
  6. Step 6: Final answer
    x = 492,310.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.