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Finding the Third Proportional to 175,279 and 383,728

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Solution

The third proportional to 175,279 and 383,728 is: 840,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,279 : 383,728 = 383,728 : x
  2. Step 2: Convert to fraction form
    175,279/383,728 = 383,728/x
  3. Step 3: Cross multiply
    175,279x = 383,728 × 383,728
  4. Step 4: Simplify right side
    175,279x = 147,247,177,984
  5. Step 5: Solve for x
    x = 147,247,177,984/175,279
  6. Step 6: Final answer
    x = 840,073.13

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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.