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Finding the Third Proportional to 175,288 and 383,744

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Solution

The third proportional to 175,288 and 383,744 is: 840,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,288 : 383,744 = 383,744 : x
  2. Step 2: Convert to fraction form
    175,288/383,744 = 383,744/x
  3. Step 3: Cross multiply
    175,288x = 383,744 × 383,744
  4. Step 4: Simplify right side
    175,288x = 147,259,457,536
  5. Step 5: Solve for x
    x = 147,259,457,536/175,288
  6. Step 6: Final answer
    x = 840,100.05

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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.