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Finding the Third Proportional to 151,569 and 231,956

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Solution

The third proportional to 151,569 and 231,956 is: 354,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,569 : 231,956 = 231,956 : x
  2. Step 2: Convert to fraction form
    151,569/231,956 = 231,956/x
  3. Step 3: Cross multiply
    151,569x = 231,956 × 231,956
  4. Step 4: Simplify right side
    151,569x = 53,803,585,936
  5. Step 5: Solve for x
    x = 53,803,585,936/151,569
  6. Step 6: Final answer
    x = 354,977.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.