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Finding the Third Proportional to 150,720 and 231,264

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Solution

The third proportional to 150,720 and 231,264 is: 354,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,720 : 231,264 = 231,264 : x
  2. Step 2: Convert to fraction form
    150,720/231,264 = 231,264/x
  3. Step 3: Cross multiply
    150,720x = 231,264 × 231,264
  4. Step 4: Simplify right side
    150,720x = 53,483,037,696
  5. Step 5: Solve for x
    x = 53,483,037,696/150,720
  6. Step 6: Final answer
    x = 354,850.30

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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.