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Finding the Third Proportional to 175,966 and 383,686

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Solution

The third proportional to 175,966 and 383,686 is: 836,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,966 : 383,686 = 383,686 : x
  2. Step 2: Convert to fraction form
    175,966/383,686 = 383,686/x
  3. Step 3: Cross multiply
    175,966x = 383,686 × 383,686
  4. Step 4: Simplify right side
    175,966x = 147,214,946,596
  5. Step 5: Solve for x
    x = 147,214,946,596/175,966
  6. Step 6: Final answer
    x = 836,610.18

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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.