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Finding the Third Proportional to 177,019 and 383,575

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Solution

The third proportional to 177,019 and 383,575 is: 831,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,019 : 383,575 = 383,575 : x
  2. Step 2: Convert to fraction form
    177,019/383,575 = 383,575/x
  3. Step 3: Cross multiply
    177,019x = 383,575 × 383,575
  4. Step 4: Simplify right side
    177,019x = 147,129,780,625
  5. Step 5: Solve for x
    x = 147,129,780,625/177,019
  6. Step 6: Final answer
    x = 831,152.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.