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Finding the Third Proportional to 180,170 and 382,562

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Solution

The third proportional to 180,170 and 382,562 is: 812,308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,170 : 382,562 = 382,562 : x
  2. Step 2: Convert to fraction form
    180,170/382,562 = 382,562/x
  3. Step 3: Cross multiply
    180,170x = 382,562 × 382,562
  4. Step 4: Simplify right side
    180,170x = 146,353,683,844
  5. Step 5: Solve for x
    x = 146,353,683,844/180,170
  6. Step 6: Final answer
    x = 812,308.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.