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Finding the Third Proportional to 155,037 and 232,551

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Solution

The third proportional to 155,037 and 232,551 is: 348,819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,037 : 232,551 = 232,551 : x
  2. Step 2: Convert to fraction form
    155,037/232,551 = 232,551/x
  3. Step 3: Cross multiply
    155,037x = 232,551 × 232,551
  4. Step 4: Simplify right side
    155,037x = 54,079,967,601
  5. Step 5: Solve for x
    x = 54,079,967,601/155,037
  6. Step 6: Final answer
    x = 348,819.75

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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.