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Finding the Third Proportional to 177,063 and 383,628

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Solution

The third proportional to 177,063 and 383,628 is: 831,175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,063 : 383,628 = 383,628 : x
  2. Step 2: Convert to fraction form
    177,063/383,628 = 383,628/x
  3. Step 3: Cross multiply
    177,063x = 383,628 × 383,628
  4. Step 4: Simplify right side
    177,063x = 147,170,442,384
  5. Step 5: Solve for x
    x = 147,170,442,384/177,063
  6. Step 6: Final answer
    x = 831,175.58

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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.