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Finding the Third Proportional to 231,989 and 348,600

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Solution

The third proportional to 231,989 and 348,600 is: 523,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,989 : 348,600 = 348,600 : x
  2. Step 2: Convert to fraction form
    231,989/348,600 = 348,600/x
  3. Step 3: Cross multiply
    231,989x = 348,600 × 348,600
  4. Step 4: Simplify right side
    231,989x = 121,521,960,000
  5. Step 5: Solve for x
    x = 121,521,960,000/231,989
  6. Step 6: Final answer
    x = 523,826.39

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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.