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Finding the Third Proportional to 175,968 and 383,690

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Solution

The third proportional to 175,968 and 383,690 is: 836,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,968 : 383,690 = 383,690 : x
  2. Step 2: Convert to fraction form
    175,968/383,690 = 383,690/x
  3. Step 3: Cross multiply
    175,968x = 383,690 × 383,690
  4. Step 4: Simplify right side
    175,968x = 147,218,016,100
  5. Step 5: Solve for x
    x = 147,218,016,100/175,968
  6. Step 6: Final answer
    x = 836,618.11

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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.