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Finding the Third Proportional to 151,314 and 227,624

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Solution

The third proportional to 151,314 and 227,624 is: 342,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,314 : 227,624 = 227,624 : x
  2. Step 2: Convert to fraction form
    151,314/227,624 = 227,624/x
  3. Step 3: Cross multiply
    151,314x = 227,624 × 227,624
  4. Step 4: Simplify right side
    151,314x = 51,812,685,376
  5. Step 5: Solve for x
    x = 51,812,685,376/151,314
  6. Step 6: Final answer
    x = 342,418.32

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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.