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Finding the Third Proportional to 106,515 and 233,400

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Solution

The third proportional to 106,515 and 233,400 is: 511,435.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,515 : 233,400 = 233,400 : x
  2. Step 2: Convert to fraction form
    106,515/233,400 = 233,400/x
  3. Step 3: Cross multiply
    106,515x = 233,400 × 233,400
  4. Step 4: Simplify right side
    106,515x = 54,475,560,000
  5. Step 5: Solve for x
    x = 54,475,560,000/106,515
  6. Step 6: Final answer
    x = 511,435.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.