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Finding the Third Proportional to 175,302 and 383,775

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Solution

The third proportional to 175,302 and 383,775 is: 840,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,302 : 383,775 = 383,775 : x
  2. Step 2: Convert to fraction form
    175,302/383,775 = 383,775/x
  3. Step 3: Cross multiply
    175,302x = 383,775 × 383,775
  4. Step 4: Simplify right side
    175,302x = 147,283,250,625
  5. Step 5: Solve for x
    x = 147,283,250,625/175,302
  6. Step 6: Final answer
    x = 840,168.68

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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.