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Finding the Third Proportional to 175,924 and 383,425

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Solution

The third proportional to 175,924 and 383,425 is: 835,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,924 : 383,425 = 383,425 : x
  2. Step 2: Convert to fraction form
    175,924/383,425 = 383,425/x
  3. Step 3: Cross multiply
    175,924x = 383,425 × 383,425
  4. Step 4: Simplify right side
    175,924x = 147,014,730,625
  5. Step 5: Solve for x
    x = 147,014,730,625/175,924
  6. Step 6: Final answer
    x = 835,671.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.