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Finding the Third Proportional to 230,634 and 345,951

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Solution

The third proportional to 230,634 and 345,951 is: 518,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,634 : 345,951 = 345,951 : x
  2. Step 2: Convert to fraction form
    230,634/345,951 = 345,951/x
  3. Step 3: Cross multiply
    230,634x = 345,951 × 345,951
  4. Step 4: Simplify right side
    230,634x = 119,682,094,401
  5. Step 5: Solve for x
    x = 119,682,094,401/230,634
  6. Step 6: Final answer
    x = 518,926.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.