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Finding the Third Proportional to 231,369 and 315,195

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Solution

The third proportional to 231,369 and 315,195 is: 429,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,369 : 315,195 = 315,195 : x
  2. Step 2: Convert to fraction form
    231,369/315,195 = 315,195/x
  3. Step 3: Cross multiply
    231,369x = 315,195 × 315,195
  4. Step 4: Simplify right side
    231,369x = 99,347,888,025
  5. Step 5: Solve for x
    x = 99,347,888,025/231,369
  6. Step 6: Final answer
    x = 429,391.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.