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Finding the Third Proportional to 177,260 and 382,690

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Solution

The third proportional to 177,260 and 382,690 is: 826,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,260 : 382,690 = 382,690 : x
  2. Step 2: Convert to fraction form
    177,260/382,690 = 382,690/x
  3. Step 3: Cross multiply
    177,260x = 382,690 × 382,690
  4. Step 4: Simplify right side
    177,260x = 146,451,636,100
  5. Step 5: Solve for x
    x = 146,451,636,100/177,260
  6. Step 6: Final answer
    x = 826,196.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.