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Finding the Third Proportional to 233,450 and 339,971

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Solution

The third proportional to 233,450 and 339,971 is: 495,096.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,450 : 339,971 = 339,971 : x
  2. Step 2: Convert to fraction form
    233,450/339,971 = 339,971/x
  3. Step 3: Cross multiply
    233,450x = 339,971 × 339,971
  4. Step 4: Simplify right side
    233,450x = 115,580,280,841
  5. Step 5: Solve for x
    x = 115,580,280,841/233,450
  6. Step 6: Final answer
    x = 495,096.51

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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.